# What is the slope of any line perpendicular to the line passing through (2,7) and (5,2)?

The line has slope $\frac{2 - 7}{5 - 2}$ or -$\frac{5}{3}$, so the slope of a perpendicular line is $\frac{3}{5}$
The slope of a line is the "rise" over the "run". That is, the change in the elevation divided by the distance between the measurements of elevation. In this example, by going from x=2 to x=5, a distance of 3, the elevation falls from 7 to 2, a change of -5. So, the slope of the line is $- \frac{5}{3}$. The slope of a line perpendicular is obtained by inverting the given slope and changing the sign, so $\frac{3}{5}$