Find the distance between the given perpendicular lines

Question

Line t contains points (0,-3) and (7,4). Point P has coordinates (4,3)

Answer 1

THen line P has slope (4 - -3)/(7-0) = 7/7 = 1

It's equation is y = x-3

The perpendicular line has slope -1.

it eats (4,3)

b = y - mx = 3 - (-1)(4) = 3+4 = 7

y = -x+7

they meet at -x+7 = x - 3

7 = 2x - 3

10 = 2x

x = 5

they meet at (5,2)