# Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises: 27

y=-x+6

#### Work Step by Step

The line that describes all points equidistant from two two given coordinates, will have a slope that is opposite of the reciprocal of the slope between the coordinates and will pass through the midpoint between the coordinates. slope=$\frac{5-2}{4-1}$ slope=1 opposite of reciprocal=-1 midpoint=($\frac{4+1}{2}$,$\frac{5+2}{2}$) midpoint=(2.5,3.5) y=mx+b y=(-1)x+b 3.5=-1(2.5)+b b=6 y=mx+b y=-x+6

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