Question

Write an equation of the line in slope-intercept form that contains

(-3, 13) and (6,-5)

Answer 1

`y = -2x +7`

Explanation:

Given

`(x_1,y_1) = (-3,13)`

`(x_2,y_2) = (6,-5)`

Required

Determine the equation in slope intercept form

First, we calculate the slope:

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

The equation becomes:

`m = (-5 - 13)/(6 - (-3))`

`m = (-5 - 13)/(6 +3)`

`m = (-18)/(9)`

`m = -2`

The equation is then calculated using:

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

Substitute values for y1, m and x1

`y - 13 = -2(x -(-3))`

`y - 13 = -2(x +3)`

`y - 13 = -2x -6`

Make y the subject

`y = -2x - 6 + 13`

`y = -2x +7`