Question

Lines K and P are perpendicular, neither is vertical and P passes through the origin. Which is greater?

a. The product of the slopes of lines K and P.
b. The product of the y-intercepts of lines K and P.

Answer 1

A delightful problem ! / / / a). The product of the slopes of two perpendicular lines is always -1. / / / b). Since one of the lines passes through the origin, the y-intercept of that one is zero. No matter what the y-intercept of the other one is, their product is zero. / / / Zero is greater than -1. The correct choice is (b).