Question

Write the equation of the line that passes through points (-7,8) and (4,-5)

Answer 1

y = -13/11x - 3/11

Explanation:

First, find the slope of the line using the slope formula.

`m=(y_2-y_1)/(x_2-x_1)\\m=(-5-8)/(4-(-7))\\m=-(13)/(11)`

Then, use the point-slope formula and substitute the values for the variables.

`y-y_1=m(x-x_1)\\y-8=-(13)/(11)(x-(-7))\\y-8=-(13)/(11)x-(91)/(11)\\y=-(13)/(11)x-(3)/(11)`

Answer 2

y=-3/11x+67/11

Explanation:

y-8=-5-8/4--7(x--7)

y-8=-3/11(x+7)

11y-88=-3x-21

11y=-3x-21+88

11y=-3x+67

y=-3/11x+67/11