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The perpendicular bisector of the line segment connecting the points (-3,8) and (-5,4) has an equation of the form y=mx+b. Find m+b.

 Jul 2, 2020
 #1
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The slope of the line segment is (8 - 4)/(-5 - (-3)) = -2, so the slope of the perpendicular bisector is 1/2.  The midpoint is (-4,6), so by point-slope form, the equation fo the line is y - 6 = 1/2(x + 4).  Then y = 1/2*x + 8, so m + b = 1/2 + 8 = 17/2.

 Jul 2, 2020
 #2
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So for perpendicular bisectors has slope 1/6 since the first one has slope -6 and we then get thta the y-intercept is 3 1/3 so we get that the answer is 7/2.

 Jul 3, 2020

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