Question

Find the equation of the line through the points (-8,3) and (-4,5).

Answer 1

`2y - x = 14`

Explanation:

Given

`(x_1,y_1) = (-8,3)`

`(x_2,y_2) = (-4,5)`

Required

The line equation

First, calculate the slope (m)

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

`m = (5 - 3)/(-4 - (-8))`

`m = (2)/(4)`

`m = (1)/(2)`

The equation is then calculated as:

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

`y = (1)/(2)(x - (-8)) +3`

`y = (1)/(2)(x +8) +3`

Open bracket

`y = (1)/(2)x +4 +3`

`y = (1)/(2)x +7`

Multiply through by 2

`2y = x + 14`

`2y - x = 14`