A triangle has vertices A (0, 2), B (6, 6), and C (8, -2). Determine the equation, in slope y-intercept form, of the median from vertex B.

Answer 1

(0, 2) and (8, -2) have a midpoint which is averages of the coordinates= ((8/2), (2-2)/2)= (4,0)

line from (4,0) to (6,6) has slope 6/(6-4) = 3 = y/(x-4)

y = 3x -12 in slope intercept form

the median is the line from the vertex to the midpoint of the opposite side