Question

What equation in slope intercept form represents the line that passes through the two points?

(5,7), (6,-2)

Answer 1

`y = -9x +52`

Explanation:

Given

`(x_1.y_1) = (5,7)\\`

`(x_2,y_2) = (6,-2)`

Required

Determine the equation in slope intercept form

First, we calculate the slope of the line:

`m = (y_1 - y_2)/(x_1 - x_2)`

This gives:

`m = (7 - (-2))/(5 - 6)`

`m = (7 +2)/(-1)`

`m = (9)/(-1)`

`m = -9`

Th equation is then calculated using:

`y - y_1 = m(x - x_1)`

This gives:

`y - 7 = -9(x - 5)`

Open bracket

`y - 7 = -9x +45`

Make y the subject

`y = -9x +45+7`

`y = -9x +52`