Write the equation of the line that is perpendicular to y=-2x+5 and passes through the point (1,-1).

Answer 1

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

m = -1/-2 = 1/2

y = (1/2)x + b

Find b from the given point.

-1 = (1/2)(1) + b

b = -3/2

y = (1/2)x - 3/2