find the slope intercept form of the equation that passes through the given point and is perpendicular to the given line. (-3,1) and y=-3x+7

Question

find the slope intercept form of the equation that passes through the given point and is perpendicular to the given line. (-3,1) and y=-3x+7

Answer 1

The product of slopes of perpendicular lines is -1, so the slope is

m = -1/-3 = 1/3

y = (1/3)x + b

Find b from the given point.

1 = (1/3)(-3) + b

b = 2

y = (1/3)x + 2