Answer:
y = -3x - 1
Step-by-step explanation:
Point Slope Form: (y - y1) = m(x - x1)
Step 1: Find the slope using [tex]\frac{y2 - y1}{x2 - x1}[/tex]
(x1, y1) = (-1, 2)
(x2, y2) = (1, -4)
m = [tex]\frac{-4 - 2}{1 -(-1)}[/tex]
m = [tex]\frac{-6}{1+1}[/tex]
m = [tex]\frac{-6}{2}[/tex]
m = -3
Step 2: Plug into point slope form and solve for y
(y - y1) = m(x - x1)
(y - 2) = -3(x - (-1))
y - 2 = -3(x + 1)
y - 2 + 2 = -3x - 3 + 2
y = -3x - 1
Answer: y = -3x - 1
