Answer:
y = -2x + 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: Find slope m
[tex]m=\frac{-4-4}{6-2}[/tex]
[tex]m=\frac{-8}{4}[/tex]
[tex]m=-2[/tex]
y = -2x + b
Step 2: Find y-intercept b
4 = -2(2) + b
4 = -4 + b
b = 8
Step 3: Write linear equation
y = -2x + 8