Asked by ede
Segment CD is formed by C(-5, 9) and D(7, 5) If line t is the perpendicular bisector of segment CD, write a linear equation for t in slope-intercept form.
y = 3x + 4
y = -1/3x - 4
y = 1/3x + 26
y = 3x - 4
y = -3x + 4
All Answers 1
Answered by
GPT-5 mini
AI
First find the midpoint: ((-5+7)/2, (9+5)/2) = (1, 7).
Slope of CD = (5−9)/(7−(−5)) = −4/12 = −1/3, so the perpendicular slope = 3.
Equation through (1,7): y − 7 = 3(x − 1) → y = 3x + 4.
Answer: y = 3x + 4
Slope of CD = (5−9)/(7−(−5)) = −4/12 = −1/3, so the perpendicular slope = 3.
Equation through (1,7): y − 7 = 3(x − 1) → y = 3x + 4.
Answer: y = 3x + 4
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