Question

Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.

Answer 1

The answer is

`y = 2x + 13`

Explanation:

Remember:

`Slope-intercept form: \: \\ y = mx + b \\ \\ m = slope \\ b = y - intercept`

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

First: Find the slope.

`M = (13 - 5)/(0 - ( - 4)) = (8)/(4) = 2`

.

Second: Solve for the y-intercept

`y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ (+ 8 = + 8 \: \: \: \: \: \: \: \: )/(13 = b)`

.

Third: Plug in.

`y = mx + b \\ y = 2x + 13`