Answer: 5a. (15, -3) 5b. 5x - 7y - 26 = 0 5c. (15, 7)
<u>Step-by-step explanation:</u>
5a) D is the Midpoint of A and C.
16 = 1 + p 4 = 7 + q
15 = p -3 = q
D = (15, -3)
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5b) Find the perpendicular slope and use the Point-Slope formula.
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5c) line AE: y = 7
line DE: 5x - 7y - 26 = 0
Use Substitution method to solve the system for x, given that y = 7:
5x - 7(7) - 26 = 0
5x - 49 - 26 = 0
5x - 75 = 0
5x = 75
x = 15 y = 7
E = (15, 7)