29.1k views
18 votes
Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.

User Asya
by
7.3k points

1 Answer

13 votes

Answer:

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

User Christina Zhou
by
7.9k points