CPM Homework Help : GC Problem 10-33

Which equation below is perpendicular to $y=\frac{-2}{5}x-7$ and passes through the point $\left(4,-1\right)$ ?

Hint:

The slope of the perpendicular line would be $\frac{5}{2}$ .

Step 1:

Substitute $x=4$ and $y=-1$ into the equation $y=\frac{5}{2}x+b$ in order to solve for $b$ .

More help:

$b=-11$ , so the resulting equation is $y=\frac{5}{2}x-11$ .

Step 2:

Multiply the entire equation by $2$ , and you will be able to determine which answer is correct.