Answer:
y = 3x - 6
y + 3 = 3(x - 1)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Point-Slope Form: y - y₁ = m(x - x₁)
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
[tex]m=\frac{15-(-3)}{7-1}[/tex]
[tex]m=\frac{15+3}{6}[/tex]
[tex]m=\frac{18}{6}[/tex]
[tex]m=3[/tex]
y = 3x + b
Step 2: Find y-intercept b
-3 = 3(1) + b
-3 = 3 + b
b = -6
Step 3: Write linear equation
y = 3x - 6
or
y + 3 = 3(x - 1)
