find the equation of the altitude to the side AB given the points A (1,0) B(5,-3) C (3,4)

Answer 1

The slope of the line AB is (-3-0)/(5-1) = -3/4
The slope of the altitude is thus 4/3

Now you have a point C:(3,4) and a slope.

y-4 = 4/3 (x-3)