Question

Find the ratio in which the point (3,y) divides the line joining the point (9,8) and (-4,-6) hence find the value of y

​

Answer 1

m1:m2 = 6:7

y = 7 (Approx.)

Explanation:

Given:

Dividing point (3, y)

Two points (9 , 8) , (-4 , 6)

Find:

Ratio

Value of y

Computation:

X = [(m1)(x2) + (m2)(x1)] / [m1 + m2]

3 = [(m1)(-4) + (m2)(9)] / [m1 + m2]

3m1 + 3m2 = -4m1 + 9m2

7m1 = 6m2

m1 / m2 = 6 / 7

m1:m2 = 6:7

Y = [(m1)(y2) + (m2)(y1)] / [m1 + m2]

y = [(6)(6) + (7)(8)] / [6 + 7]

y = [36 + 56] / 13

y = 92 / 13

y = 7.07

y = 7 (Approx.)