Answer:
The answer is
[tex]y = 2x + 13[/tex]
Step-by-step explanation:
Remember:
[tex]Slope-intercept form: \: \\ y = mx + b \\ \\ m = slope \\ b = y - intercept[/tex]
[tex]M = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
First: Find the slope.
[tex]M = \frac{13 - 5}{0 - ( - 4)} = \frac{8}{4} = 2[/tex]
.
Second: Solve for the y-intercept
[tex]y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ \frac{+ 8 = + 8 \: \: \: \: \: \: \: \: }{13 = b} [/tex]
.
Third: Plug in.
[tex]y = mx + b \\ y = 2x + 13[/tex]
