Question

find the ratio in which the y axis divides the line segment joining the points (-5,6) and (-1,-4).Also find the point of intersection​

Answer 1

Solution:

Given:

• Points of line (-5,6) and (-1,-4)
• Y axis divides the line segment.

To find : Ratio and point of Intersection.

Let k:1 be the ratio. Since the line segment is divided by Y axis , the X Coordinate at that point will be zero.

Using section formula, we get

$\sf{0 = \dfrac{ - k - 5}{k + 1}}$

⇒ -k -5 = 0

or, k = -5

Ratio is -5:1 or 5:1 externally.

The coordinate of Intersection

$\sf{y = \dfrac{20 + 6}{ - 4}}$

or, y = 26/-4 = -13/2

or, y = -6.5

∴ Coordinates are (0,-6.5)

Answer 2

To find : Ratio and point of Intersection.

Let k:1 be the ratio. Since the line segment is divided by Y axis , the X Coordinate at that point will be zero.

Using section formula, we get

⇒ -k -5 = 0

or, k = -5

Ratio is -5:1 or 5:1 externally.

The coordinate of Intersection

 y = 26/-4 = -13/2

or, y = -6.5

∴ Coordinates are (0,-6.5)