Prove that nonvertical parallel lines L and M have the same slope, as follows. Suppose M lies above L, and choose two points (x1, y1) and (x2, y2) on L.
(a) Let P be the point on M with first coordinate x1. Let b denote the vertical distance from P to (x1, y1). Show that the second coordinate of P is y1 + b.
(b) Let Q be the point on M with first coordinate x2. Use the fact that L and M are parallel to show that the second coordinate of Q is y2 + b.
(c) Compute the slope of L using (x1, y1) and (x2, y2). Compute the slope of M using the points P and Q. Verify that the two slopes are the same.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.