51. Prove that if the slopes of two lines have product -1, then the lines are perpendicular. Use parts (a)–(c) to write a coordinate proof. a. First, argue that neither line can be horizontal or vertical. b. Then, tell why the lines must intersect. (Hint: Use indirect reasoning.) c. Place the lines in the coordinate plane. Choose a point on /1 and find a related point on /2. Complete the proof.

20 points 1. your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. 2. taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1 g(x)=2x^2+1