Question

The slope of line XY is 1/8, and XY ⊥ AB

What is the slope of AB

-8
-1/8
1/8
8

Answer 1

`\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{8}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{8}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{8}{1}}\implies -8}`