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9. A perpendicular bisector is a line that divides a line segment into two equal parts. It also makes a right angle with the line segment. Find an equation for the perpendicular bisector of the segment between (−3, 10) and (4,−18)

 Nov 27, 2022
 #1
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The equation is 4x - 3y = 17.

 Nov 27, 2022
 #2
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Hello!

Hint: Use the midpoint formula \((\frac{x_2-x_1}{2},\frac{y_2-y_1}{2})\)to find the midpoint of this segment.

Then you can find the 90 degree angle, and find the slope with the formula \(\frac{y_2-y_1}{x_2-x_1}\) then I'll let you take it from there!

 

Hope this helped,

     Imcool

 Nov 27, 2022

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