Write the equation of the given line in standard form y=ax+b:
The line containing the midpoints of the legs of a right triangle ABC where A (-5,5), B (1,1) and C (3,4) are the vertices.
Find the distance between the sets of points. Use this to determine which sides are the legs.
A to B = sqrt(52) = 7.2111 A to C = sqrt(50) = 7.07106 B to C = sqrt(65)= 8.622577
B to C is hypotenuse
midpoint of A to B is (-2,3) midpoint of A to C is (-1, 4.5)
The line we are solving for contains these midpoints, so we have to solve for the slope between them and use point-slope form to make the equation of the line. slope = 3/2 (or 1.5) y=m(x-x1)+y1
