Find a relationship between x and y such that (x,

Yolanda Jorge

Yolanda Jorge

Answered question

2021-11-16

Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two points. (-1/2, -4), (7/2, 5/4)

Answer & Explanation

Anot1954

Anot1954

Beginner2021-11-17Added 16 answers

Find the midpoint of the two given points
(x1+x22,y1+y22)=(12+722,3+542)=(32,118)
Find the slope of the line passing through the two given points.
y2y1x2x1=4541272=(214)4=2116
Take the negative reciprocal of the slope.
1621
Use the slope and point to find the line such that is equidstant from the two points.
y=mx+b
118=1621(32)+b
118=87+b
b=1356
y=1621x1356

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