SOLUTION: In the triangle with the vertices A(0,1),B(2,3),C(-1,4), find the equation of the altitude through B.

Algebra ->  Triangles -> SOLUTION: In the triangle with the vertices A(0,1),B(2,3),C(-1,4), find the equation of the altitude through B.       Log On


   

Question 1014701: In the triangle with the vertices A(0,1),B(2,3),C(-1,4), find the equation of the altitude through B.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of line AC, and determine the slope for a line perpendicular to it.
Use point slope form of equation to make the equation of line with that slope and containing B(2,3).







AC has slope %284-1%29%2F%28-1%29=-3.
Slope needed will be 1%2F3 for the perpendicular line containing B.
y-3=%281%2F3%29%28x-2%29-----your line containing the altitude through B. Adjust to the form you want.