SOLUTION: In a plot, a triangle ABC is formed with its vertex, A(2,0), B(3,-2), and C(7,5). Find the equation of the altitude from vertex B.

Algebra ->  Linear-equations -> SOLUTION: In a plot, a triangle ABC is formed with its vertex, A(2,0), B(3,-2), and C(7,5). Find the equation of the altitude from vertex B.       Log On


   

Question 1082350: In a plot, a triangle ABC is formed with its vertex, A(2,0), B(3,-2), and C(7,5). Find the equation of the altitude from vertex B.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of line AC.
m=%285-0%29%2F%287-2%29=5%2F5=1
The altitude from vertex B is perpendicular to AC so,
m%2A%281%29=-1
m=-1
Using point B and the slope,
y-%28-2%29=-1%28x-3%29
y%2B2=-x%2B3
y=-x%2B1
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