Question

8. Find the ratio in which the y-axis divides the line segment joining the points (-4,-6) and (10,​

Answer 1

Answer:

Using the section formula, if a point (x,y) divides the line joining the points

(x 1,y 1) and (x 2 ,y 2 ) in the ratio m:n,

then

(x,y)=( m+nmx 2 +nx 1, m+nmy 2+ny1)

Step-by-step explanation:

Let y−axis divides the line joining points A(−4,−6) and B(10,12) in ratio y:1

Then, as per section formula the coordinates of point which divides the line is

y+1

10y−4

y+1

12y−6

We know that coordinate at y−axis of point of x is zero

Then,

y+1

10y−4

=0

⇒10y−4=0

⇒10y=4

⇒y=

4

10

=

2

5

Then, ratio is

5

2

:1⇒2:5

Substitute the value of y in y− coordinates, we get

5

2

+1

12

5

2

−6

= 24−30/2-5

= −6/-3 =2

Then, coordinates of point which divides the line joining A and B is (0,2) and ratio 2 /5