SOLUTION: Determine the equation of Altitude of triangle A(-3:3), B(3:-3) C (6:12)

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Question 960102: Determine the equation of Altitude of triangle A(-3:3), B(3:-3) C (6:12)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the line from B to C.
Then find the perpendicular bisector of that line that goes through B.
Slope of BC:
m=%2812-%28-3%29%29%2F%286-3%29=15%2F3=5
Since the lines are perpendicular, their slopes are negative reciprocals,
m%5Bp%5D%2A5=-1
m%5Bp%5D=-1%2F5
Using the point-slope form,
y-3=-%281%2F5%29%28x-%28-3%29%29
y-3=-%281%2F5%29%28x%2B3%29
y-3=-%281%2F5%29x-3%2F5
y=-%281%2F5%29x-3%2F5%2B15%2F5
highlight%28y=-%281%2F5%29x%2B12%2F5%29
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