Answer:
y = -5x - 2
Step-by-step explanation:
We will use the slope intercept form: y = mx + b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
A parallel equation means the slope has to be the same with the original equation. The slope of the original equation is -5, so m = -5
y = -5x + b
We have the x and y coordinates
-12 = -5(2) + b
-12 = -10 + b
+ 10 + 10
b = -2
The y intercept for the new equation is -2
This will be our new parallel equation
y = -5x - 2
You can check this by plugging in
y = -5(2) - 2
y = -10 - 2
y = -12
