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A segment bisector is a line, ray, or segment that divides a line segment into two equal parts. In the triangle formed by points $A(-1,7)$, $B(1,2)$, and $C(7,6)$, what is the slope of the line that goes through point $A$ and bisects $BC$?

 Jun 15, 2021
 #1
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Midpoint of  BC  =   [ ( 1  + 7) /2   , (6 + 2) / 2  ]   =  (4,4)

 

Call this  point, M

 

So....the  line  through  AM  has a slope of

 

(  7 - 4)   / ( -1 - 4)   =

 

3 /  -5   =

 

-3 / 5 

 

 

cool cool cool

 Jun 15, 2021

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