Question

Figure lmno is a rectangle. The slope of LM is -1/2. What are the slopes of MN and OL?

Answer 1

The slope would be 2 because the sides would have to be perpendicular to each other since it is a rectangle and to get the perpendicular slope, you get the opposite reciprocal of -1/2 which is 2. (drawing it out helps)

Answer 2

The slopes of these other two segments would be 2.

Explanation:

In order to find these slopes, you need to know that rectangles have right angles. Given this fact, we know these segments are perpendicular to the given segment. This means that we take the current slope (-1/2), we flip it, (-2) and negate it (2) to get the new slope.