Question

Find the coordinates of the point which divides the line segment joining the points a(4,-3) and b(9,7) in the ratio 3:2

Answer 1

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Answer 2

Answer:

The coordinates of required point are (7,3).

Step-by-step explanation:

The line segment joining the points a(4,-3) and b(9,7)

Let the point P divides the line ab is 3:2.

The section formula is

$P=(\frac{x_2m+x_1n}{m+n},\frac{y_2m+y_1n}{m+n})$

Using the section formula,

$P=(\frac{9(3)+4(2)}{3+2},\frac{7(3)+(-3)(2)}{3+2})$

$P=(\frac{35}{5},\frac{15}{5})$

$P=(7,3)$

Therefore the coordinates of required point are (7,3).