Answer:
y = 3x - 9
Step-by-step explanation:
We first need to find the slope (m)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3 - (-6)}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3
y = mx + b
y = 3x + b
(4, 3)
y = 3x + b
3 = 3(4) + b
3 = 12 + b
-12 -12
-9 = b
(1, –6)
y = 3x + b
-6 = 3(1) + b
-6 = 3 + b
-3 -3
-9 = b
y = 3x - 9
To check: (1, –6)
y = 3x - 9
-6 = 3(1) - 9
-6 = 3 - 9
-6 = -6
Hope this helps!
