Find a line perpendicular to 5 x 4y19 that passes through 5

Find a line perpendicular to - 5 x -4y=19 that passes through (-5, 11)

Solution

-5x - 4y = 19

-5x - 19 = 4y

y = -(5/4)x - ( 19/4 )

slope of perpendicular lines are negative reciprocal of each other = 4/5

y = mx + b

11 = (4/5) (-5) + b

11 + 4 = b

b = 15

y = (4/5) x + 15