Question

In what ratio does the point (3,-2) divide the line segment joining the points (5,-3) and (- 9,4).​

Answer 1

$\sf{Answer}$

Given :-

The point (3 , -2 ) divides line segment joining points

(5, -3) and (-9 ,4)

To find :-

The ratio in which The point (3 , -2 ) divides line segment joining points (5, -3) and (-9 ,4)

Formula Implemented:-

$\sf{x_1 -x : x- x_2}$

Solution:-

Let ,

(3,-2) = (x ,y )

So,

• x = 3
• y = -2

$\sf{(x_1, y_1)}$ = (5,-3)

• x1 = 5
• x2 = -3

$\sf{(x_2 , y_2)}$ = (- 9,4).

• x2 = -9
• y2 = 4

Finding ratio:-

$\sf{x_1 -x : x- x_2}$

5 - 3 : 3-(-9)

2 : 3+9

2 : 12

1 : 6

So. In the ratio of 1 : 6 the point (3,-2) divide the line segment joining the points (5,-3) and (- 9,4).