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Example 9: 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

## Answers

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4

**Step-by-step explanation:**

## The ratio in which the y-axis divides the line segment joining the points (5,-6) and (-1,-4) is 5: 1.

## hope helpful!?

Answered by

1

Let the line segment A(5, -6) and B(-1, -4) is divided at point P(0, y) by y-axis in ratio m:n

:. x = and y =

Here, (x, y) = (0, y); (x1, y1) = (5, -6) and (x2, y2) = (-1, -4)

So , 0 =

=> 0 = -m + 5n

=> m= 5n

=> =

=> m:n = 5:1

Hence, the ratio is 5:1 and the division is internal.Now,

y =

=> y =

=> y =

=> y =

=> y =

**Hence, the coordinates of the point of division is (0, -13/3).**

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