Question

Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answer 1

y - 5 = -1/2(x+3)

Step-by-step explanation

Slope = y2-y1/x2-x1

Slope = 4-5/-1-(-3) = -1/2

(x1,y1) = (-3,5)

final answer : y - 5 = -1/2(x+3)

Answer 2

Answer: y = -1/2x+7/2.

Explanation:

Firstly, we need to understand the formula of point-slope form: y1-y2=m(r1-r2)

Where x and y is the coordinates and m is the slope respectively.

To find the slope:

y1-y2/r1-r2

In this case:

5-4/-3-(-1)=-1/2

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)

-y = 1/2+1/2x-4

y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))

y=-1/2x-1/2+4

y = -1/2x+7/2