Answer:
Step-by-step explanation:
Since all points are on same line, AB and BC have same slope.
Use slope formula and compare:
- m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)
- m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)
- m(AB) = m(BC)
Compare and solve for p:
- p/(p - 2) = 8p/(5p - 1)
- 8(p - 2) = 5p - 1
- 8p - 16 = 5p - 1
- 8p - 5p = 16 - 1
- 3p = 15
- p = 5
