Question 986775: Find the equation of the perpendicular bisector of the segment joining (2,4) and (4,-4) using point slope form Found 2 solutions by josgarithmetic, Boreal:Answer by josgarithmetic(39623) (Show Source):
You can put this solution on YOUR website! (1) Find midpoint.
(2) Find slope for the two given points.
(3) form the negative reciprocal of that slope.
(4) Form the equation in point-slope format using the found slope in step (3) and the point in step (1).
You can put this solution on YOUR website! slope of a line between these two is -8/2=-4
point slope formula
y-y1=m(x-x1)
y+4=-4(x-4)
y+4=-4x+16
y=-4x+12
midpoint of this line is (3,0) since you average the x and y values.
I need a line with a slop of (1/4) the negative reciprocal of the slope of the first line, and it must go through (3,0)
y-0=(1/4)(x-3)
y=(1/4)x-(3/4)
(