The given line segment has a midpoint at (3, 1). What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?y = xy = x – 2y = 3xy = 3x − 8
Accepted Solution
A:
Answer:y = 1/3 x.Step-by-step explanation:The slope of the given line is (4 - (-2) / 2 - 4) = -3.So the slope of the line perpendicular to it = -1 / (-3) = 1/3.This line also passes through the point (3, 1) so its equation is ( by the point-slope form):y - 1 = 1/3(x - 3)y - 1 = 1/3x - 1y = 1/3 x (answer).