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Find an equation for the perpendicular bisector of the line segment whose endpoints are (-4,-5)and (8,-9)
Question
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-4,-5)and (8,-9)
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Mathematics
4 years
2021-08-14T16:06:22+00:00
2021-08-14T16:06:22+00:00 1 Answers
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Answers ( )
Answer:
y = 3x – 13
Step-by-step explanation:
slope of line segment is -1/3 so a segment perpendicular to this would need a slope of 3
the midpoint for the segment is (2, -7); midpoint formula is [(
+
/2), (
+
/2)]
using slope of 3 and point (2, -7) we can plug into y = mx + b
-7 = 3(2) + b
-7 = 6 + b
b = -13