Answer:
y = 3/4x - 3/2
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{3-(-3)}{6-(-2)}[/tex]
[tex]m=\frac{3+3}{6+2}[/tex]
[tex]m=\frac{6}{8}[/tex]
[tex]m=\frac{3}{4}[/tex]
y = 3/4x + b
Step 2: Find y-intercept b
3 = 3/4(6) + b
3 = 9/2 + b
b = -3/2
Step 3: Write linear equation
y = 3/4x - 3/2
