line q has an equation of y=1/2x-2. line r includes the point (3,-2) and is perpendicular to line q. what is the equation of line r ?

Answer 1

slope of q is 1/2. Slope of r perpendicular to q is -2 (negative reciprocal).

using point slope form and fact r passes through (3,-2), equation of line r is:

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

solve for y to convert to slope-intercept form

y+2 = -2x + 6

y = -2x + 4