### Home > INT2 > Chapter 6 > Lesson 6.2.6 > Problem6-106

6-106.

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

1. $2x-5y=13$

1. $2x + 5y = 3$

1. $5x-2y=22$

1. $5x + 2y = 18$

1. None of these

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

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

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

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