Question

Find the equation of the line that passes through the point (-4, 8) and has a slope of -3.

Answer 1

y = -3x - 4

Explanation:

First, you should know that I will be writing the equation in slope intercept form. This is the formula for slope intercept: y = mx + b. First, fill in the slope for m to get: y = -3x + b. The next thing you want to find is the y intercept, or b. In order to do so, fill in the point to the x and y of the equation. It should look like this:

8 = -3(-4) + b.

Multiply -3 by -4 to get 12. Now, it should look like this: 8 = 12 + b. Subtract 12 from both sides to get -4 = b. So, go back to your original equation and plug in -4 for b. This is your final equation:

y = -3x - 4

Hope this helped!