Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
fractions when required.

Answers

Answer 1

Answer:

[tex]y=\frac{1}{3} x+6[/tex]

Step-by-step explanation:

[tex](3,7)(-6,4)[/tex]

Step 1. Find the slope (by using the slope-formula)

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-7}{-6-3}[/tex]

[tex]m=\frac{-3}{-9}[/tex]

[tex]m=\frac{3}{9}[/tex]

[tex]m=\frac{1}{3}[/tex]

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula [tex]y=mx+b[/tex] whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

[tex]y=\frac{1}{3} x+b[/tex]

Find the y-intercept (b) by using a point and substituting their x and y values

[tex]y=\frac{1}{3} x+b[/tex]

Point: (3, 7)

[tex]7=\frac{1}{3} (3)+b[/tex]

[tex]7=1+b[/tex]

[tex]b=7-1[/tex]

[tex]b=6[/tex]

Step 3. Write the equation in Slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3} x+6[/tex]


Related Questions

once second I'm ggettin the question

Answers

Answer:

0.51

Step-by-step explanation:

-32÷(-61)

in this case the subtraction have to cancel themselves

so it'll remain

32÷61

=0.508

approximately ~=0.51

Three tiles of thickness 20 mm, 17 mm and 8 mm are piled on the top of each other. What is the total thickness of pile in cm?

Answers

Answer:

4.5 cm

Step-by-step explanation:

Givens: 20 mm, 17 mm and 8 mmOperations: Addition and DivisionSolutions: 20 + 17 + 8 = 45 mm45 mm ÷ 10 = 4.5 cmAnswer: 4.5 cm

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong.
Jaxson's work:
8 3/5 + 7 1/8 = 15 4/13

Answers

Answer:

4/13 very identifies what Jaxson did wrong.

Step-by-step explanation:

The addition of the whole number part of the fraction was well done that is (8+7)

What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.

Based on the graph, is there an association between
eating a mint and getting a correct guess?
Does eating a mint affect a person's taste buds? To
answer this question, students were randomly placed
into two groups. One group had to eat a mint, and the
other did not. Then all the students were given a cup
that had one of two brands of ice tea. Students were
asked to guess which brand of ice tea they had. The
results are displayed below.
There is an association because the distribution of
correct guesses differs among the mint groups.
There is an association because the distribution of
correct guesses is the same among the mint groups
O There is no association because the distribution of
correct guesses differs among the mint groups.
O There is no association because the distribution of
correct guesses is the same among the mint groups.
Effect of Mints on Taste
100
Incorrect
Relative Frequency
50
Correct
Mark this and return
Save and Exit
Net
Submit

Answers

Answer: There is an association because the distribution of correct guesses is the same among the mint groups.

Step-by-step explanation:

We would have to see the graph but I know it's either B or C because the other answer choices don't make sense. I chose B because it seems like the most logical choice of the two.

Mr. Thompson's sixth grade class is competing

Answers

I don’t get this what is the question
sorry i don’t get the question?

Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1

Answers

The expression for the perimeter of the rectangle is 63.2x - 14.6.

Given that,

Width = W = 24.6x - 10.4Length = L = 7x + 3.1

We Know that

Perimeter of the rectangle is

[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]

= 63.2x - 14.6

Here the above formula should be applied for measuring the perimeter of the rectangle.

Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

24.3

Step-by-step explanation:

First you solve the sides:

24.6-10.4 =14.2

7+3.1=10.1

After that ,you will add because perimeter is adding up the side lengths of various shapes.

14.2+10.1=24.3

What is the area of BCD?
A. 36 square units
B. 32 square units
C. 16 square units
D. 72 square units

Answers

Answer:

in this figure B: 32 square units

if a and b are zeros of the polynomial f(x) = 5x^2+4x-9 then evaluate the following :a^3-b^3.​

Answers

Answer:

Results will be out: 854/ 125 (Please note that the result is a decimal number)

Step-by-step explanation:

If you need me to explain the steps clearly, please let me know.

I'm not sure but hope it helps.

Simplify: a(3+5a)-4(a2+5)

Answers

Answer:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Step-by-step explanation:

We want to simplify the expression:

[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]

Distribute:

[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]

Rearrange:

[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]

Combine like terms:

[tex]\displaystyle = a^2 + 3a -20[/tex]

In conclusion:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

How do i solve this?

Answers

Answer:

1.-4

2.7

3.-11

4.18

5.13

Step-by-step explanation:

0-4=-4

-2+9=7

-2-9=-11

5+13=18

-10+23=13

order pair for x-3y=6

Answers

Answer:

X=6+3y

y=x-6/3

Step-by-step explanation:

1)x-3y+3y=6+3y

            x=6+3y

2)3y+6=x

      3y=x-6

       y=x-6/3

Solve x2 = 144.
O 72
O 12
+12
O-12

Answers

Answer:

x = ±12

Step-by-step explanation:

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = ±12

Answer:

Choice 3

Step-by-step explanation:

[tex]\sqrt{144}[/tex] is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.

Length of path for the above example

Answers

Answer:

D. 25.5 m

Step-by-step explanation:

5.5m+5.5m=11m

4.5m-1m= 3.5m

3.5m+3.5m=7m

The middle vertical path is 3.5m

the middle horizontal path is 5.5m-1.5m=4m

The sum of all is 25.5m

Is f(x)=x^4-x^2 even or odd

Answers

Answer: i think it’s even.

Explanation:

Since the exponent are both even and even number - even number = even number.

Ex: 2^4 - 2^2 = 16 - 4 = 12 which is an even number

Maram is a real estate agent. She earns 6,5% commission on each sale she
makes. Last month she sold one house for $250,000 and another for $310,000.
What did Maram earn in commissions for the month? *

Answers

The commission earned by Maram for the given month is $36,400

The given parameter:

percentage of the commission earned by Maram = 6.5%first house sold for the month = $250,000 second house sold for the month =  $310,000

The commission earned by Maram for the given month is calculated as follows;

[tex]amount \ earned = initial \ amount \times percentage\\\\amount \ earned =0.065(\$250,000) + 0.065(\$310,000) \\\\amount \ earned =\$ 36,400[/tex]

Thus, the commission earned by Maram for the given month is $36,400

Learn more here: https://brainly.com/question/15363170

Find the volume of this figure.
[?] = cubic units

Answers

Answer:

36 cubic units

Step-by-step explanation:

V = l • w • h

V = 5 • 2 • 3

V = 30

V = l • w • h

V = 3 • 2 • 1

V = 6

30 + 6 = 36 cubic units

The volume of the given figure us = 36 cubic units

Volume of a rectangular prism

The formula for calculating the volume of rectangular prism is expressed as:

V =lwh

where

l is the length

w is the width

h is the height

T of the given figure is expressed as:

V = 2(3)(5) + 2(3)(1)

V = 30 + 6

V = 36 cubic units

Hence the volume of the given figure is 36 cubic units

Learn more on volume of prism here: https://brainly.com/question/23963432

#SPJ6

Instructions
Solve the following problem and choose the best answer.
Question
Which of the following points (x,y) lies on the graph of 8x + 2y = 24?
0 (-1, 8)
O (2,8)
O (6.-12)
O (8, 2)

Answers

Answer:

O (6, -12)

Step-by-step explanation:

For 8x + 2y = 24, the point (6, -12) lies in the graph.

* Suppose that hat f (3)= 1 2 , and hat f (x)>0 , and hat f (x)<0 Is it possible that hat f (2)=

Answers

Answer:

I would say true

Step-by-step explanation:

f'(x)>0 is an increasing function

f''(x)<0 is concave down

2<3, 1/3<1/2

I need the answer, please help!!!

Answers

Step-by-step explanation:

0.5 goes first

0.44 goes second

2/5 goes third

3/8 goes fourth

Find the smallest value of k such that 525k is a perfect cube

Answers

Answer:

If u decompose in prime factors,u get 175=52•7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube,i.e. 53•73. This number is K=5•72=245

1x
Identify the domain of the function.

A)
(-2,4)
B)
(-3,3)
[-2.4)

Answers

The domain is a description of the x-values used in the graph. It's the "how far left and right does the graph go?" description.

In the attached graph, you'll see this highlighted against the x-axis.

How far left does the graph go? How far right? Does it include the endpoints?

Urgent help please please please❤️Urgent​

Answers

Answer:

Step-by-step explanation:

Remember:

[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]

[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]

[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]

[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]

Simplify the given expression. Assume x = 0
-2
20r-3
10x-1
2
4

Answers

Answer:

x⁴/4

Step-by-step explanation:

(20x‐³/10x‐1)‐²

= > 20/10 = 2

so = (2x-³/x-¹)-²

= (2/x²)-²....................(a/b)-²=(b/a)²

= (x²/2)²

= x⁴/2

Please someone help me.

Answers

Answer:

I will help

Step-by-step explanation:

Marsha earns $3.40 an hour plus $.20 for each unit produced. One week
she worked 40 hours and produced 280 units. What was her weekly wage?
a. $192
b. $56
c. $136
d. $144

Answers

Answer:

$192

Step-by-step explanation:

→ Set up equation

3.40h + 0.20u

→ Substitute in the numbers

( 3.40 × 40 ) + ( 0.20 × 280 )

→ Simplify

192

Answer:

192

Step-by-step explanation:

Make a formula, multiply the hourly wage by the number of hours she worked and add that to the number unit price multiplied by the number of units assembled. Then you 192

even numbers are closed under addition? true or false

Answers

Even numbers are closed under addition.

Answer: True

Answer:

Even numbers are closed under addition.

Answer: True

Step-by-step explanation:

brainliest to correct answer

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

express
[tex](4 - x) {}^{ \frac{1}{2} } [/tex]
in ascending power of x up to term x²

Answers

Answer:

Step-by-step explanation:

Remember:

[tex]\boxed{(1+y)^{\frac{1}{2} }= 1+\dfrac{y}{2} -\dfrac{y^2}{2*4} +\dfrac{1*3*y^3}{2*4*6} +K\ with -1 < y \leq 1 }\\\\\\Let\ say\ 4-x=1+y\ or\ y=3-x\\\\\\(4-x)^{\frac{1}{2} }=1+\dfrac{3-x}{2} -\dfrac{(3-x)^2}{2*4} +K\ with\ 2\leq x <4\\\\=\dfrac{29}{8} -\dfrac{5x}{4} +\dfrac{x^2}{8} +K\\[/tex]

In a shipment of 600 parts, 30 are found to be defective. How many defective parts should be expected in a shipment of 1000?

50

200

40

150

Answers

We can except 30/600 = 0.05>> 5%percent,
so 1000 * 0.05 = 50 parts defective

Identify the terms and coefficients in each expression.
X square 2 - 9y square 2 + 3k

Answers

[tex]\\ \rm\longmapsto x^2-9y^2+3k[/tex]

Terms

[tex]\\ \rm\longmapsto x^2,-9y^2,3k[/tex]

Coefficients

[tex]\\ \rm\longmapsto x^2=1[/tex]

[tex]\\ \rm\longmapsto -9y^2=-9[/tex]

[tex]\\ \rm\longmapsto 3k=3[/tex]

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