Question

Find p if the slope of the line passing through the point (-2.5) and (p,2p +1) is 1. 

Answer 1

Slope of line AB = `("y"_2 - "y"_1)/("x"_2 - "x"_1)`      

⇒ 1 = `(2"p" + - 5)/("p" + 2)`

⇒ p + 2 = 2p - 4

⇒ 6 = p