## Intermediate Algebra: Connecting Concepts through Application

Since they are supposed to be perpendicular, the desired line must have a slope that is the opposite of the reciprocal of the slope of the given line, -2x+5y=35: -2x+5y=35 5y=2x+35 y=$\frac{2}{5}$x+7. When changed to slope intercept form, we can see that the slope of the given line has a slope of $\frac{2}{5}$. Therefore, the slope of the desired line must have a slope of m=-$\frac{5}{2}$ or 2.5. y-y$_1$=m(x-x$_1$) y-9=-2.5(x+2) y-9=-2.5x-5 y=-2.5x+4