Find the value of the y-coordinate of point Z.

label Algebra
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Oct 22nd, 2017

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point A = (x1,y1) = (-3,3)  point B = (x2,y2) = (1,4)

slope of AB = y2-y1/x2-x1  = (4-3)/(1-(-3)) = 1/4

Slope of a line perpendicular to AB is the negative reciprocal of  slope of AB

slope of AB = 1/4  Negative reciprocal of that is -4

Slope of YZ  = y-7/(-2+4) = (y-7)/2  

(y-7)/2 = -4  

solve for y 

y -7 = -8  

y = -1 choice A

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 18th, 2015

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Oct 22nd, 2017
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Oct 22nd, 2017
Oct 22nd, 2017
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