A few days ago
find the eqn of the perpendicular bisector of the segment wif endpts (2,9) and (-6,-7) show work?
find the eqn of the perpendicular bisector of the segment wif endpts (2,9) and (-6,-7) show work?
Top 1 Answers
A few days ago
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The midpoint of the line from (2,9) to (-6,-7) is:
( (2 – 6)/2, (9 – 7)/2 )
= (-4/2, 2/2)
= (-2, 1).
The gradient of the line between those points is:
(-7 – 9) / (-6 – 2)
= -16 / (-8)
= 2.
The gradient of the perpendicular line is therefore -1/2, and its equation is:
y – 1 = (-1/2)(x + 2)
y = -(1/2)x.
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