Question

What is the equation of the line that passes through the point (0, 3) and is perpendicular to the line y = 2x + 3?

Answer 1

perpendicalar means that the line's slope = -1 / slope of y = 2x + 3 (has slope 2)
so itsslope = - 1/2
use the standard formula

y - y1 = m(x - x1) where m = slope and x1, y1 is a point on line

y - 3 = -1/2 ( x - 0)

Answer 2

can you simplify that last equation?