Answer:
m1:m2 = 6:7
y = 7 (Approx.)
Step-by-step 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.)
