Question

Triangle PQR has vertices P(0,12) Q(7,11) ans R(-2,2) Find the eaquation of the triangles median through point Q

Answer 1

if you sketch this you will see that the median from Q, bisects segment PR

to write the equation of the median you need to find the midpoint of PR

P(0,12), R(-2,2)
using the midpoint formula
1/2 (x1 + x2), 1/2 (y1 + y2)
1/2(0 + -2), 1/2(12 + 2)
1/2(-2), 1/2(14)
Midpoint (-1,7)

you want the equation through (-1,7) and (7,11)

y - y1 = (y2 - y1)/(x2 - x1) (x - x1)
y - 7 = (11 - 7)/(7 + 1) (x + 1)
y - 7 = 4/8 (x + 1)
y - 7 = 1/2 (x + 1)
y - 7 = 1/2 x + 1/2
y = 1/2x + 15/2

check my math,

Answer 2

Again...cheater, cheater, pumpkin eater!