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lets work together to find the equation of the right bisector of a line segment a-b were given the coordinates of a and B and Ive plotted them here already the right bisector will go through the midpoint of those two and if you find the slope of a B it will be 90 degrees to that slope all right your job is to find the slope between a and B take its negative reciprocal find the midpoint of a and B and then use y equals MX plus B to solve for B heres what I mean step 1 find the slope of a B the slope is y2 minus y1 over x2 minus x1 thats 10 minus negative 6 over 4 minus 10 when I get here I get 16 over negative 6 that reduces to negative 8 over 3 thats the slope from A to B that makes sense because it is going down right what that means is that the slope of the right bisector is flip the fraction 3/8 flip the sign negative 2 positive the slope of the right bisector is positive 3/8 we didnt we know that it is at a right angle to a B because it is a negative reciprocal cool step th