Question

If the points (1, 2) , (4 , y) , (x, 6) and (3, 5) are the vertices of a parallelogram, taken in order, find the values of x and y

Answer 1

Step-by-step explanation:

let the vertices be A, B, C, D

slope BC = slope AD

(6 - y)/(x - 4) = (5 - 2)/(3 - 1) = 3/2

12 - 2y = 3x - 12

3x + 2y = 24

Slope AB = Slope DC

Solve this you get 2 eqns, use them to find out x and y