55. In the standard (x, y) coordinate plane below, a shaded square is shown with vertices at (2, 3), (2, 4), (3, 3), and (3, 4). Two lines, y = rx and y = sx, each intersect the shaded square at exactly 1 point. Give that r ≠s, what is the positive difference of r and s?

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

According to the meaning of the question, there is only one intersection between two straight lines passing through the origin with different slopes and the shaded part, then the only possible intersections are (2,4) and (3,3), so the slopes are 1 and 2 respectively, And r and s are the slopes of the two straight lines, so the difference between r and s is 1