Mathematics High School

What is the equation in point-slope form of the line passing through (-1,3) and (1, 7)?
O a
y - 7 = 4(x - 1)
Ob
y-7 = 2(x - 1)
ос
y- 3 = 2(x - 1)
Od
y- 3 = 4(x + 1)

Answers

Answer 1

Answer:

y - 3 = 2(x+1)

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Get the slope;

Given the points (-1,3) and (1, 7)

m = y2-y1/x2-x1

m = 7-3/1+1

m = 4/2

m = 2

Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;

y - y0 = m(x-x0)

y - 3 = 2(x-(-1))

y - 3 = 2(x+1)

Hence the required equation is y - 3 = 2(x+1)

Related Questions

a) Sarah hires a pedalo.
She has to return it by 4 pm.
The time is 3:35 pm.
How many minutes has she got left?

Answers

Sarah has 25 minutes left

please help I suck at math: solve the equation 3x+2=x+4(x+2)

Answers

Answer:

-3

Step-by-step explanation:

3x+2=x+4x+8

3x+2=5x+8

2=2x+8

-6=2x

-3=x

what is the answer to -2(x+3)

Answers

Answer:

-2x-6

Step-by-step explanation:

-2(x+3) =

According to the distributive property:

(-2*x) + (-2*3) =

-2x - 6

Answer: -2x-6

Explanation : we apply the distributive property which would mean -2 times x which would be -2x and then we would switch the positive to a negative since all of the numbers are negative and -2 times 3 equals -6 so that is why that is the answer have a nice day (:

x3 - 7x,
f(x) = 8,
2x + 3,
x < -3
- 3 < x < 3
x > 3

Answers

Answer:

I did the math and I believe that answer is : -12x4-5x

Step-by-step explanation:

23, f(x) = 4x- 25, f(x) = x2-3x + 10 26. 27. f(x) 3x2 29, f(x) = 2x3-5x2 + 4x-1 30. f(x) = x3-3x2 31, f(x)--2x3-8x2 + 6x + 36 28, f(x) = x3-x2-x + 1 For each function use the leading coefficient test to determine whether y → oo or y →-oo as x → oo. 33, y=2x3-x2 + 9 35. y =-3x4 + 5 34. y=-3x + 7 36, y = 6x4-5x2-1 38, y = 5x-7x4 37. y=x-3x3 For each function use the leading coefficient test to determine whether y → or y →

How do you do this one I tried all ways and it didn’t work

Answers

Answer:

Well, to start the angle supplementary to 94° is 86°.

86°+20°=106°

180°-106°=74°

x=74°

Step-by-step explanation:

Sorry if it's wrong

Please help me on this

Answers

Answer:

First choice

Step-by-step explanation:

It the first one hope this helps :)

plz help i will report if your not trying to answer​

Answers

Answer:

number 5 is 1.24 x 10 (3)

number 6 is 1.53 x 10 (-4)

hoped that helped:)

Step-by-step explanation:

find the slope of the line passing through the points (-9, -6) and (-4, 5)

Answers

Answer:

11/5 slope

Step-by-step explanation:

5-(-6) -4-(-9)

11/ 5

5/12 would be the slope. Just count the boxes on the graph for proof

b. Which is an equation for the line? *

Answers

Answer:can see the line

Step-by-step explanation:

if it is linear it is =Ax+By=C

To solve the system of equations below, Lisa isolated the variable y in the first
equation and then substituted it into the second equation. What was the
resulting equation?
[2y = 6x
[x² + y = 28
OA. x²-3x = 28
B. x² + 3x = 28
OC. 9x² + 3x = 28
OD. 4x² = 28
C

Answers

The resulting equation after substitution in system of equations :2y = 6x , x² + y = 28 will be option B : x^2 + 3x = 28

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given system of equation are :

2y = 6x.....(1)

[x² + y = 28.........(2)

also, Lisa isolated the variable y in the first equation and then substituted it into the second equation that is :

she substitute y = 3x in second equation :

x^2 + y =28

x^2 + 3x = 28

Therefore, the resulting equation after substitution will be option B : x^2 + 3x = 28

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A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of

soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?

Answers

A ratio in mathematics demonstrates how many times one number is present in another.

Find the solution ?A ratio in mathematics demonstrates how many times one number is present in another.For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

15 basketballs

3:1:4= 8

40/8= 5

3*5=15

1*5=5

4*5=20

15:5:20

To learn more about the ratio refer

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find the sum of the first 20 terms in the series. 6+3+3/2+3/4...

Answers

Answer:

6+3+3/2+3/4

=9+3/2+3/4

=

21/2+3/4

=

45/4

(Decimal: 11.25)

Step-by-step explanation:

-2,-5,-8,-11 41st term

Answers

Answer:

-122

Step-by-step explanation:

The common difference is

-5-(-2)

-3

So

a+(n-1)d

-2+(41-1)-3

-2+(-120)

-122

-122 I believe is the answer I hope this helps

Which function is represented by the graph?

Answers

9514 1404 393

Answer:

  f(x) = -2|x| +1

Step-by-step explanation:

The vertical translation is 1 unit upward, and there is no horizontal translation. So, the function will be something of the form ...

  f(x) = a|x| +1

The slopes of the lines have a rise/run with a magnitude of 2/1, so the value of 'a' will have a magnitude of 2. The appropriate choice is ...

  f(x) = -2|x| +1

do you like my drawings

Answers

Answer:

They won't load for me

Step-by-step explanation:

Answer:

Dangggg the best I have seen

Step-by-step explanation:

but this is better

a man buys a car for 80000 Rs 20,000 more for repairing he sells it for rupees 125000 find its gain ​

Answers

Answer: 25%

The man buys the car for 80000 units.
For repairing the car, the man spends 20000 units.
The man sells the car for 125000 units.
To find:
The gain percent of the man.
Solution:
The man buys the car for 80000 units.
For repairing the car, the man spends 20000 units.
∴ Total expenditure of the man for the car_
(80000 + 20000) units.
= 100000 units.
The man sells the car for 125000 units.
∴ Gain = (125000 - 100000) units
= 25000 units.
∴ Gain % = (25000×100)/100000
= (25000/1000)
= 25 %.
∴ The gain of the man is 25 %

I need help on this question right now

Answers

Answer:

96 degrees

Step-by-step explanation:

a

Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]

Answers

Answer:

The average rate of change on the given interval is 9/70

Step-by-step explanation:

Here, we are to find the average rate of change of the function on the given interval

We proceed as follows;

on an interval [a,b] , we can find the average rate of change using the formula;

f(b) - f(a)/b-a

From the question;

a = 0

b = 3

f(0) = -3/5

f(3) = -3/14

Substituting the values, we have;

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

x+2/2x-6=3/8 solve using multiplication property of equality

Answers

The solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to solve using multiplication property of equality?

The equation is given as

x+2/2x-6=3/8

Apply the multiplication property of equality.

So, we have

8(x + 2) = 3(x - 6)

Open the brackets

8x + 16 = 3x - 18

Collect the like terms

5x = -34

Divide both sides by 5

x = -34/5

Hence, the solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5

Read more about equations at

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Can someone please help me figure this out (trig) (pre calc)

Answers

Answer:

1. x = 1.5 rpm

2. x ≈ 0.8182 mi/hr

3. x = 6.6 feet

4. x = 4224 rpm

5. x = 390 rpm

Step-by-step explanation:

The relationship between angular speed and linear speed is given as follows;

Angular speed, ω = Linear speed, v/(Radius, r)

Therefore, we have;

1. When v = 12 cm/min = r = 8 cm , ω = 12/8 = 1.5 rpm

2. When, ω = 4 rpm, and  r = 18 feet, v = 4 × 18 = 72 feet/min ≈ 0.8182 mi/hr

3. When, ω = 800 rpm, and v = 60 mi/hr = 1 mi/min, r = x = 1/800 miles = 6.6 feet

4. When v = 60 mi/hr = 63,360 mi/min, r = 15 in , ω = 63360/15 = 4224 rpm

5. When v = 13 in/sec = 780 in/min, r = 2 in, ω = 780/2 = 390 rpm

4/-2 simplified

For math not sure how to do it

Answers

Answer:

the answer is just -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

U would divide 4 by -2

What is this equation in slope-intercept form of the line the past point to (2,-2) and is perpendicular to the liner represented by y=2/5 X +2

Answers

Answer:

y = -5/2x-2

Step-by-step explanation:

Need help on number 5!

Answers

a. To find the mean, you first have to add all of the numbers together. Keep in note that if there is more than 1 dot above the number, such as 2 or 3 dots, then you must add the the amount of dots there are above it. Next, you want to divide the total amount of the numbers by the total amount of numbers you have added to get this. That will be the mean. The mean represents the average amount of wage the college students earn during a 1-week span.

b. Next, you want to find the median. Put all of the numbers together in a line, ranging from smallest to largest. Whatever number is in the middle is going to be your median. Keep note for this as well that if there is, for example, 2 dots above the number, you will have to write the number two times. The median helps interpret the middle, and separates the lower, and high values.

c. No, a box plot is not the same as a dot plot. It can interpret the median, but not the mean. A box-and-whisker plot is usually used when you want to find the IQR (interquartile range).


Which letter represents where the number 29 lies?
A)А
B)B
C)C С
D)D

Answers

Answer:

Step-by-step explanation:

b IS THE ANSWER.

Answer:

B

Step-by-step explanation:

algebra 1
what are the answers for these :
1. Y is greater than 3 times x -4
2. Y is less than 2 times x + 5
3. Y is greater than or equal to -2 times x minus 6

i need help bad please and thank you !

Answers

Answer:

1.3x-4∠Y

2.y∠2x+5

3.y≥-2x-6

What is the point slope form of a line that has a slope of five and passes through the points 3,-4

Answers

Answer:

it would be, 5x-y=-19

Step-by-step explanation:

Use equation y-y1=m(x-x1)

.
y = 2x - 4
3y + 21x = 15

Answers

Answer:

( 1 , -2 )

Step-by-step explanation:

(x ,y)

substitute the given number of y value

slove equation for x

sub the given number of x value

slove equation for y

ordered pair

check the solution

simplify the equation

the ordered pair is the solution

Solve for s
2s = 6t+8w

Answers

Answer:

s = 3t + 4w

Step-by-step explanation:

2s = 6t + 8w

s = 3t + 4w

Answer:

s = 3t+4w

Step-by-step explanation:

2s = 6t+8w

s = (6t+8w) ÷ 2

(6t÷2=3t, 8w÷2=4w)

s = 3t + 4w

HELPPPPPPPPPPPP MEEEEEEEEE PLZZZZZZZZZZ it is due soon:'(((((((((( if you answer it correctly ill give you bfrainly

Answers

Answer:

y = 65x + 250

Step-by-step explanation:

Let the linear equation representing the relation between total pay and number of computers sold be,

y = mx + c

Here, m = commission on every computer sold = slope of the linear function

c = weekly salary

y = total pay

x = number of computer sold each week

Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

From the table attached,

Slope of the line passing through (4, 510) and (6, 640),

m = [tex]\frac{640-510}{6-4}[/tex]

   = 65

Equation of the line will be,

y = 65x + c

Since, this line passes through (4, 510),

510 = 65(4) + c

c = 510 - 260

c = 250

Therefore, equation of the line will be,

y = 65x + 250

(Geometry)
Find the value of X
Show work

Answers

Answer:
Value of X is ——
1) x = 7
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