Explain “ write the equation of the perpendicular bisector of rs point r is located at (-1,3) and point s is located at (3,1) “

Hi there!

First, we'll need to find the midpoint of RS in order to bisect it. Using the midpoint formula, we can determine that the midpoint of RS is (1,2). Then, we'll need to find the slope of RS, then find the opposite reciprocal of the slope of RS to find the slope of our new line because perpendicular lines have opposite reciprocal slopes. The slope of our new line is 2. Next, we can plug our values into point-intercept form to find the equation. 

WORK:
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x

ANSWER:
D - y = 2x

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