Question

The line segment joining A(4, 7) and B(-6, -2) is intercepted by the y-axis at the point K. Write down the abscissa of the point K. Hence, find the ratio in which K divides AB.
Also, find the co-ordinates of the point K.
PLEASE SOLVE ITS URGENT !!!!​

Answer 1

Answer:

0, 1.7 : 4

Step-by-step explanation:

m = ($y_{1}$ - $y_{2}$) / ($x_{1}$ - $x_{2}$)

m = (7 - (- 2)) / (4 - (- 6)) = 9/10

y - (-2) = (9/10)(x - (-6))

y + 2 = (9/10)x + 27/5

y = (9/10)x + 3.4

Abscissa of point K is 0

AK = √[(4+0)²+(7-3.4)²] ≈ 3.3823

BK = √[(-6-0)²+(-2-3.4)²] ≈ 8.0722

Ratio AK to BK is 3.4 : 8 = 1.7 : 4