Question

The line that is the perpendicular bisector of the segment whose endpoints are R(-1,6) and (5,5)

Answer 1

First find midpoint: \left( \frac{-1+5}{2}, \frac{6+5}{2}\right) = (2, 5.5)

Find slope of line that passes through R and S: slope = \frac{6-5}{-1-5} = \frac{-1}{6}

Negative reciprocal of slope to get slope of perpendicular: new slope = 6

Line will be: y-5.5=6(x-2)

y = 6x - 6.5

Explanation: