Answer:
y = -4/3x - 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Define points
x-intercept is (-6, 0)
y-intercept is (0, -8)
Step 2: Find slope m
[tex]m=\frac{-8-0}{0-(-6)}[/tex]
[tex]m=\frac{-8}{0+6}[/tex]
[tex]m=\frac{-8}{6}[/tex]
[tex]m=\frac{-4}{3}[/tex]
y = -4/3x + b
Step 3: Find y-intercept b
We are given (0, -8)
Step 4: Write linear equation
y = -4/3x - 8
