Answer:
y = -7x + 33
Step-by-step explanation:
Use the Point Slope Form: (y - y1) = m(x - x1)
Step 1: Find the Slope
Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Slope = [tex]\frac{5 - (-2)}{4 - 5}[/tex]
Slope = [tex]\frac{5 + 2}{-1}[/tex]
Slope = [tex]\frac{7}{-1}[/tex]
Slope = -7
Step 2: Plug into the point slope form
(y - 5) = -7(x - 4)
y - 5 + 5 = -7x + 28 + 5
y = -7x + 33
Answer: y = -7x + 33
