Through (8,5) perpendicular to 5x+2y=18

Question

Write equation in slope intercept form and standard form

Answer 1

The product of slopes of perpendicular lines is -1.

Slope of given line: -5/2

Slope of perpendicular line: m = -1/(-5/2) = 2/5

y = (2/5)x + b

Find b from the given point.

5 = (2/5)(8) + b

b = 9/5

y = (2/5)x + 9/5

Multiply through by 5 to get integer coefficients.

5y = 2x + 9

2x - 5y = -9