Answer: y = -3x + 3 or y = 3 - 3x
Explanation:
First, we need to determine our slope. Thankfully for us, the slope of a line parallel to another is the same.
So our slope is -3.
Now, we need to find our y-intercept. To do that, we will use y = mx + b. y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.
Plug in the numbers given.
12 = -3(-3) + b
Simplify.
12 = 9 + b
Subtract 9 from both sides.
12 - 9 = 9 - 9 + b
3 = b
Our y-intercept is 3.
Now, we just put everything together.
y = -3x + 3
The line parallel to y = -3x + 5 that passes through the point (-3, 12) is
y = -3x + 3 or y = 3 - 3x (both are the same just written differently)