Answer: y = -6x + 17
Step-by-step explanation:
Let the equation for the line we are trying to find be y = mx + b. The slope, m, has to be the same as the original line in the problem in order to make it parallel, so m = -6. Now since the new line must pass through the given point, let’s plug in 4 for x and -7 for y. We now have -7 = -24 + b. If we solve for b, we get 17 and have the requirements to form the equation for our new parallel line. Afterwards, plug in the point to make sure both sides are equal to each other.