A(1,-5),B(2,2) and C(-2,4) are the vertices of triangle ABC . Find the equation of the altitude of the triangle through B.
The answer given at the back of my book is 3y=x+4. But how is it coming.
The altitude of the point B is a line perpinficular to the base line AC, and passing through the point B(2,2).
Find the slope of the base line AC
Hence find the slope of any line perpindicular to it.
This line will now pass through the point B(2,2)
You have a line with a slope that passes through a fixed point.
Hence you can find the equation of this line.