Answer:
1. It has 5 sides.
2. It has 6 walls.
3. Octagon
4. a. Pentagon (The figure has 5 sides.) b. Triangle (The figure has 3 sides.) c. Hexagon (The figure has 6 sides.) d. Hexagon (The figure has 6 sides.)
5. a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm, b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7, in. = 21 in., c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft., d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
6. a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft. b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in. c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
7. Shelly has enough lights to decorate four windows.
8. a. 8 ft, b. 4 m, c. 24 ft, d. 7 cm
Step-by-step explanation:
PennFoster
Answer:
It has 5 sides.
It has 6 walls.
Octagon
a. Pentagon (The figure has 5 sides.)
b. Triangle (The figure has 3 sides.)
c. Hexagon (The figure has 6 sides.)
d. Hexagon (The figure has 6 sides.)
a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm
b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7 in. = 21 in.
c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft.
d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft.
b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in.
c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
Let w stand for the number of windows Shelly can decorate. Each window is a square with sides measuring 5 feet. The perimeter of one window is 4 × 5 feet. Divide the total length of the light strings by the perimeter of one window.
80 ft. ÷ (4 × 5ft.) = w
80ft. ÷ 20ft. = w
4 = w
Answer: Shelly has enough lights to decorate four windows.
Step-by-step explanation:
PENN
Please help me with this question.
Answer:
75% (I think)
Step-by-step explanation:
1/4 of babies have no hair
2/4 of babies have little hair
1/4 of babies have a lot of hair
HELP, please!! What is the area of a trapezoid ABC?
Answer:
26 feet squaredStep-by-step explanation:
Area of trapezoid:
[tex] \frac{1}{2} \times \: sum \: of \: parallel \: sides \: \times height[/tex]
plugging the values:
[tex] \frac{1}{2} \times (21 + 5) \times 2[/tex]
Calculate the sum
[tex] \frac{1}{2} \times 26 \times 2[/tex]
Reduce the numbers with G.C.F 2
[tex]13 \times 2[/tex]
Calculate the product
[tex]26[/tex] feet squared.
Hope this helps...
Best regards!
using the order of operations, which operation should be performed first? 3(7+2²) - 5 A:7+ 2 B: 2² C: 3 x 7 and 3 x 2 D: 11 - 5
Answer:
B: 2²
Step-by-step explanation:
3(7+2²) - 5
PEMDAS says parentheses first
Then we do the order of operations inside the parentheses
Exponents are the first thing inside the parentheses
Which shapes can be made from a planar cross section of a triangular pyramid? More than one can be correct: trapezoid, pentagon, isosceles triangle, rectangle, hexagon, scalene triangle, square, decagon, or equilateral triangle
Answer:
Triangle in isosceles, scalene or equilateral forms and
quadrilateral in trapezoid, rectangle or square forms
Step-by-step explanation:
Refer to pictures attached
Shapes can be formed are:
Trapezoid,when perpendicular to base
Rectangle or square,when angle cross section to base
Isosceles triangle,when base is isosceles triangle and parallel cross section to base,
or angle cross section
Scalene triangle,when base is scalene triangle and parallel cross section to base,
or angle cross section
Equilateral triangle,when base is equilateral triangle and parallel cross section to base,
or angle cross section
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
Answer:
A. [tex] \frac{7x^2}{6x - 10} [/tex]
Step-by-step Explanation:
To get the quotient, which is the result of
What we get by dividing the above, we would turn the divisor upside down, while the division sign would change to multiplication. This rule applied is known as "multiplying by the reciprocal".
[tex] \frac{7x^2}{2x + 6} [/tex] ÷ [tex] \frac{3x - 5}{x + 3} [/tex]
[tex] \frac{7x^2}{2x + 6} * \frac{x + 3}{3x - 5} [/tex] => multiplying by the reciprocal.
[tex] \frac{7x^2}{2(x + 3)} * \frac{x + 3}{3x - 5} [/tex]
[tex] \frac{7x^2}{2} * \frac{1}{3x - 5} [/tex] => (x + 3) cancels (x + 3)
[tex] \frac{7x^2(1)}{2(3x - 5)} [/tex]
[tex] \frac{7x^2}{6x - 10} [/tex]
Quotient = [tex] \frac{7x^2}{6x - 10} [/tex]
Answer: A
Step-by-step explanation:
what is the value of y in the figure below? (Picture provided)
a box of tickets has an average of 100, and an SD of 20. Four hundred draws will be made at random with replacement from this box. a) Estimate the chance that the average of the draws will be in the range 80 to 120. b) estimate the chance that the average of the draws will be in the range 99 to 101
Answer:
(a) The probability that the average of the draws will be in the range 80 to 120 is 1.
(b) The probability that the average of the draws will be in the range 99 to 101 is 0.6827.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample selected is quite large, i.e. n = 400 > 30, then the sampling distribution of sample means will be approximately normally distributed.
Compute the mean and standard deviation of sample mean as follows:
[tex]\mu_{\bar x}=\mu=100\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{400}}=1[/tex]
So, [tex]\bar X\sim N(100, 1)[/tex]
(a)
Compute the probability that the average of the draws will be in the range 80 to 120 as follows:
[tex]P(80<\bar X<120)=P(\frac{80-100}{1}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{120-100}{1})[/tex]
[tex]=P(-20<Z<20)\\\\=P(Z<20)-P(Z<-20)\\\\=(\approx1)-(\approx0)\\\\=1[/tex]
Thus, the probability that the average of the draws will be in the range 80 to 120 is 1.
(b)
Compute the probability that the average of the draws will be in the range 99 to 101 as follows:
[tex]P(99<\bar X<101)=P(\frac{99-100}{1}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{101-100}{1})[/tex]
[tex]=P(-1<Z<1)\\\\=P(Z<1)-P(Z<-1)\\\\=0.6827[/tex]
Thus, the probability that the average of the draws will be in the range 99 to 101 is 0.6827.
Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and leading coefficient. If the function is not a polynomial, state why. f(x)=x^4(2-x^3)+1
Answer:
The correct option is
This is a polynomial function of degree 7 with a leading coefficient of -1
Step-by-step explanation:
Functions that consist of a variable such as x raised to positive integer powers which are equal to or larger than zero added together to make the function are known as polynomial functions
Therefore, the function in the question which is f(X) = x⁴ × (2 - x³) + 1
Which can be expanded as follows
f(x) = 2·x⁴ - x⁷ + 1, which is the same as given as follow equation;
f(x) = -x⁷ + 2·x⁴ + 1
Which is polynomial function with a leading coefficient of -1 as it consists of only whole number positive powers of x including the powers of x 4 and 7
Therefore, the correct option is that f(x) is a polynomial function of degree 7 with a leading coefficient of -1.
What is 3.41 (where the .41 is repeating) written as a fraction?
Please help!!
Answer:
41/99
Step-by-step explanation:
There are two types of non terminating decimals. These are: Simple and Mixed
The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.
And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.
So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.
Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.
And the numerator will be the decimal number that keeps repeating itself without the repeating bar.
Therefore, the answer is 41/99.
Hope it helps ;) ❤❤❤
calcula la diagonal de un cuadrado cuyo lado tiene cada una de las siguientes medidas en centímetros. a.4 b.7 c.13
Answer:
[tex]4\sqrt{2}\\\\7\sqrt{2} \\\\13\sqrt{2}[/tex]
Step-by-step explanation:
Well the diagonal using pythagora's theorem:
[tex]x\sqrt{2}[/tex] where x is the lenght is the side of the square
so when x=4
[tex]4\sqrt{2}[/tex]
when x=7
[tex]7\sqrt{2\\}[/tex]
when x=13
[tex]13\sqrt{2}[/tex]
The length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].
Given side of squares.
We have to calculate the length of diagonal.
We know that in square shape,
length of diagonal [tex]=\sqrt{2} a[/tex], here a is the side of square.
So when square has a side of 4 then its diagonal becomes [tex]4\sqrt{2}[/tex].
when square has a side of 7 then its diagonal becomes [tex]7\sqrt{2}[/tex].
when square has a side of 13 then its diagonal becomes [tex]13\sqrt{2}[/tex].
Hence the length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].
For more details on length of diagonal of square follow the link:
https://brainly.com/question/16716787
ASAPPPPPP!! PLEASE help me!!!!!!!!!!
PLEASE HELP I WILL REWARD BRAINLY. PLEASE ONLY ANSWER IF YOU KNOW HOW TO SOLVE THIS PROBLEM. PLEASE INCLUDE INSIGHTFUL EXPLAINATION AND THOUGHT PROCESS: A woman and her two children are playing on a seesaw. This seesaw has seats that can move to different distances from the fulcrum. Riders can also add seats to the seesaw. The woman weighs 145lb, her son weighs 95lb, her daughter weighs 70lb, each seat weighs 5 pounds. Question: The woman is on the left side of the seesaw, 60 inches from the fulcrum. The daughter and son both get on the right side. The son sits 60 inches from the fulcrum. Where should the daughter sit to balance the seesaw. Please explain your process and give correct answer.
Answer: 40 inches
Step-by-step explanation:
The woman weight and the seat will be: 145lb + 5lb = 150lb,
her son weight and the seat will be: 95lb + 5lb = 100lb
her daughter weight and the seat will be: 70lb + 5lb = 75lb
Given that the woman is on the left side of the seesaw, 60 inches from the fulcrum. The moment of the woman will be 150 × 60 = 9000
The daughter and son both get on the right side.
If the son sits 60 inches from the fulcrum, his moment will be:
100 × 60 = 6000
The sum of the moment of the son and daughter must be equal to the moment of their mother.
Let the position of the daughter = X
The moment of the daughter will be:
75 × X = 75X
Equate the moment of the mother to the sum of the moment of her children
9000 = 6000 + 75X
Collect the like terms
75X = 9000 - 6000
75X = 3000
X = 3000/75
X = 40
The position the daughter should sit to balance the seesaw is 40 inches away from seasaw to the right.
Which of the following is the product of the rational expressions shown
below?
Answer:
The answer is b
Step-by-step explanation:
since 2*9=18 and (x)(2x+3)=2x^2+3x
Answer: B
Step-by-step explanation:
5x+8=3x-6 plz help me asap
Answer:
x = -7
Step-by-step explanation:
5x+8=3x-6
Subtract 3x from each side
5x-3x+8=3x-3x-6
2x+8 = -6
Subtract 8 from each side
2x+8-8 = -6-8
2x = -14
Divide by 2
2x/2 = -14/2
x = -7
Answer: x= -7
Step-by-step explanation:
[tex]5x+8=3x-6[/tex]
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
[tex]5x+8-8=3x-6-8[/tex]
[tex]5x=3x-14[/tex]
[tex]\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}[/tex]
[tex]5x-3x=3x-14-3x[/tex]
[tex]2x=-14[/tex]
[tex]\mathrm{Divide\:2\:\:on\:\:both\:sides\:}[/tex]
[tex]-14/2=-7[/tex]
[tex]x=-7[/tex]
Find the slope of the line that contains the following points. A(5, 6), B(10, 8) 5/2 2/5 14/15
Hey there! :)
Answer:
Slope = 2/5.
Step-by-step explanation:
Use the slope formula to solve for the slope of the line:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates of each point into the equation:
[tex]m = \frac{8 - 6}{10 - 5}[/tex]
Simplify:
m = 2/5. This is the slope of the line.
Which of the points listed is the same distance from the y-axis as the point (−4, 7.5)?
Answer:
(-4, y) and (4, y), where y is any real number.
Step-by-step explanation:
The point (-4; 7.5) is 4 units from the y axis.
All points that lie on the line x = -4 and the line x = 4 have the same distance from the y-axis of 4 units.
Jane exchanged £100 for 216 Swiss francs. After buying a meal and a present to take home,she had 70 francs left.How much is this in £?
Answer:
£32.4
Step-by-step explanation:
£100 = 216 Swiss francs
x = 70 francs
70 x 100=7000/216=32.4
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___ Please include an explanation too!
Answer:
[tex]2ab - 6a + 5b - 15[/tex]
Step-by-step explanation:
Given
[tex]2ab - 6a + 5b + \_[/tex]
Required
Fill in the gap to produce the product of linear expressions
[tex]2ab - 6a + 5b + \_[/tex]
Split to 2
[tex](2ab - 6a) + (5b + \_)[/tex]
Factorize the first bracket
[tex]2a(b - 3) + (5b + \_)[/tex]
Represent the _ with X
[tex]2a(b - 3) + (5b + X)[/tex]
Factorize the second bracket
[tex]2a(b - 3) + 5(b + \frac{X}{5})[/tex]
To result in a linear expression, then the following condition must be satisfied;
[tex]b - 3 = b + \frac{X}{5}[/tex]
Subtract b from both sides
[tex]b - b- 3 = b - b+ \frac{X}{5}[/tex]
[tex]- 3 = \frac{X}{5}[/tex]
Multiply both sides by 5
[tex]- 3 * 5 = \frac{X}{5} * 5[/tex]
[tex]X = -15[/tex]
Substitute -15 for X in [tex]2a(b - 3) + 5(b + \frac{X}{5})[/tex]
[tex]2a(b - 3) + 5(b + \frac{-15}{5})[/tex]
[tex]2a(b - 3) + 5(b - \frac{15}{5})[/tex]
[tex]2a(b - 3) + 5(b - 3)[/tex]
[tex](2a + 5)(b - 3)[/tex]
The two linear expressions are [tex](2a+ 5)[/tex] and [tex](b - 3)[/tex]
Their product will result in [tex]2ab - 6a + 5b - 15[/tex]
Hence, the constant is -15
Jeff's sister drives 14 miles to her collage his brother only drives 5/7/10 miles to his collage how much farther does Jeff's sister drive than his brother
Answer:
8.3miles
Step-by-step explanation:
Here Jeff's sister drives 14 miles
his brother only drives 57/10 miles then the question is only asking the difference between their distance of driving to school knowing fully well that Jeff's sister drive farther than his brother, then we find the difference between their drives which is done bow
14miles -57/10 miles
= 83/10
= 8.3miles
Therefore, Jeff's sister drive 8.3miles farther than his brother
Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7. x = 3 y squared minus 7 On a coordinate plane, a graph curves up, then curves down, and then curves up again. please comment i cant see answers thank you! :)
Answer: The answer is D . The graph
Step-by-step explanation: It was the answer given on Edge.
Answer:
d
Step-by-step explanation:
If f(x)=5x/3+5, which of the following is the inverse of f(x)
Answer:
B
Step-by-step explanation:
to find the inverse of a function, repalace f(x) with x, and replace x with y, proceed to solve for y and the answer you get is B
Answer:
B
Step-by-step explanation:
f(x)=5x/3+5
y=5x/3+5
x=5y/3+5
now solve for y
3x=5y+15
5y=3x-15
y=3x/5-3 or 3(x-5)/5
Use zero property to solve the equation.
F(x)=3x(x+7)-2(x+7)
Answer:
x = -7 or x = 2/3
Step-by-step explanation:
I'm assuming you meant solve for x when f(x) = 0.
f(x) = 3x(x + 7) - 2(x + 7)
0 = (x + 7)(3x - 2) -- Both terms have a common factor of (x + 7) so we can group them
x + 7 = 0 or 3x - 2 = 0 -- Use ZPP
x = -7 or x = 2/3 -- Solve
what is the initial value for g(x) = 3(1/4)^(x-2) - 3
Answer: g(1) = 9
Step-by-step explanation:
g(x) = 3(1/4)^(x-2) - 3
g(1) = 3(1/4)^(1-2) - 3
g(1) = 3(1/4)^(-1) - 3
g(1) = 3(4) - 3
g(1) = 12 - 3
g(1) = 9
By moving point G, how many triangles is it possible to draw, keeping the measure of just one angle constant (in this case, m∠FDE)? In how many instances are all three angle measures of ∆DEF equal to those of the original triangle, ∆ABC?
Step-by-step explanation:
Keeping, one angle FDE, many triangles are possible since length of no segment is fixed and only one angle is fixed.
At many instances, triangle ABC and DEF have same angle measurements. Referring to the image attached here.
As point G moved on the ray EF, many triangles with same angle measurements as of ABC can be formed.
Answer:
Since no segment length is fixed and only one angle is fixed, multiple triangles are possible while maintaining one angle FDE. Triangles ABC and DEF frequently have the same measured angles. referring to the picture that is attached. Numerous triangles with the same angle measurements as ABC can be constructed when point G moves along ray EF.
Step-by-step explanation:
I need help!!! Please Help!!
Answer:
Step-by-step explanation:
If you aren't supposed to do this on your calculator, then you'd have to figure out a way to get the bases of 10 to have the same power somehow in order to use the properties of exponents. This is the problem (you multiply the 2 dimensions together to find area, remember):
[tex](5.5*10^5)(4.2*10^4)[/tex]You cannot simply add the exponents on the 10's and say your power is 9...cuz it's not. It needs to be rewritten so that there is a power of 4 on the 10 in the parenthesis on the left. Do that this way:
[tex](5.5*10^4*10^1)(4.2*10^4)[/tex] Now you've got a common power of 4 between the 2 sets of parenthesis. 10 to the first is the same as 10, so multiplying that into the 5.5 gives us
[tex](55*10^4)(4.2*10^4)[/tex]
55 * 4.2 is 231 and 10 to the 4th times 10 to the 4th is 10 to the 8th.
[tex]231*10^8[/tex] But that's not in correct scientific notation. If we move the decimal to places to the left, we have to add 2 to the exponent of 8, giving us, finally,
[tex]2.31*10^{10}m^2[/tex]
Next use the hint to convert that to kilometers:
[tex]2.31*10^{10}m^2*\frac{1km^2}{1*10^6m^2}[/tex]
Dividing like bases means we subtract the lower exponent from the upper. 10 - 6 = 4, so the equivalent number of km squared is
2.31 × 10⁴ km²
Kilometers are comparable to miles, which is how we measure large things, like pieces of land. So it would be better to measure the forest in kilometers squared instead of meters squared.
A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density of kerosene is 815 kg/m³. What is the mass of the kerosene in the container? Enter your answer in the box. Use 3.14 for π. Round your final answer to the nearest whole number.
Answer:
172.83 kg
Step-by-step explanation:
A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.
The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:
Density = Mass / volume
The volume of a cylinder is given as:
V = πr²h
V = π × (0.3)² × 0.75 = 0.212 m³
Density = Mass/ volume
Mass = Density × Volume
Mass = 815 kg/m³ × 0.212 m³
Mass = 172.83 kg
Answer:
The answer is 173
Step-by-step explanation:
The other guy's answer was correct, but he forgot to round up to the nearest whole number so just in case you didn't notice the question saying that!
Louis traveled 2,795 on an airplane from
Los Angeles to New York City. Then he
switched planes and traveled 3,460
miles to London. After that, he switched
planes again and traveled 889 miles from
London to Rome. How many miles did he
fly in all?
Louis traveled 7,144 miles
Please help me i give 40 points and five more to who say me the answers
Answer:
Step-by-step explanation:
A frequency table can be used to group a raw data. It shows the quantity of each variable in the data.
The required answers to the question can be found in the attachments to this answer.
Two pizzas with 8 inch and 16 inch diameters are each cut into 6 equal pieces. How does the area of each piece of the smaller pizza compare to the area of each piece of the larger pizza?
Answer:
Step-by-step explanation:
The easiest way to think about increasing area is by taking a square, if you double the dimensions, let's say they were 1 by 1 and then was made into a 2x2 square, you can fit four of the original cube (1x1) into the 2x2. So when the dimensions are doubled the area is quadrupled.
Even easier shortcut:
Take the cube idea, when the dimensions are messed with for anything, (works for volume too) always think of the smaller piece as 1x1 or 1x1x1. Then if the dimensions are double make it 2x2 or 2x2x2. If the dimensions are tripled then do 3x3 or 3x3x3, etc... 1x1=1x1x1, they are both equal to 1. So think of that as the numerator. the 2x2 in this case is equal to 4 so the smaller piece is 1/4 of the bigger one. Shown with volume if you double the dimensions of a cube that was 1x1x1 into 2x2x2. 1x1x1 still equals 1 so that's still the numerator and 2x2x2 is equal to 8 so the 1x1x1 cube is 1/8 of the 2x2x2, in other words you can fit eight 1x1x1 cubes into the 2x2x2 cube.
Hope this helps with area and volume.
A line contains the points (3,1) and (−6,4). A line contains the points (3,1) and (−6,4). What is the equation for this line in slop-intercept form? What is the equation for this line in slop-intercept form?
Answer:
y = -1/3 x + 2Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as y = mx+c
m is the slope of the line
c is the intercept
m = Δy/Δx = y₂-y₁/x₂-x₁
Given the points on a line to be (3,1) and (−6,4);
x₁ = 3, y₁ = 1, x₂ = -6 and y₂ = 4
m = 4-1/-6-3
m = 3/-9
m = -1/3
To get the intercept c, we will substitute any of the points given and the value of the slope into the equation y = mx+c. Using the point (3, 1) and m = -1/3
1 = -1/3(3)+c
1 = -1+c
c = 1+1
c =2
Substituting m = -1/3 and c = 2 into the sllpe intercept form of the equation will give;
y = -1/3 x + 2
Hence the equation for the line in slope-intercept form is y = -1/3 x + 2