First, find the slope (m): m = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{-6 - (-3)}{0 - 1}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3
Next, input ONE of the points (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) I am choosing to use (0, -6)
y - (-6) = 3(x - 0)
Then, solve for y:
y + 6 = 3x
y = 3x - 6
Answer: y = 3x - 6
