Question

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

Answer 1

Answer:

The answer is

$y = 2x + 13$

Step-by-step explanation:

Remember:

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

$M = \frac{y_2 - y_1}{x_2 - x_1}$

First: Find the slope.

$M = \frac{13 - 5}{0 - ( - 4)} = \frac{8}{4} = 2$

.

Second: Solve for the y-intercept

$y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ \frac{+ 8 = + 8 \: \: \: \: \: \: \: \: }{13 = b}$

.

Third: Plug in.

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