Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(-3, 12); y = -3x + 5

y = -3x + 3 or y = 3 - 3x

Step-by-step 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)