A line is perpendicular to the line y = 2x + 3 and contains the point (2,5). What is the equation of this line in the form y = mx + b

Answer 1

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

m = -1/2

y = (-1/2)x + b

Find b from the given point.

5 = (-1/2)(2) + b

b = 6

y = (-1/2)x + 6