Question

3. Find the coordinate of the point which divides the joint of (-5,11) and (4, - 7) in the ratio 2:7 ​

Answer 1

Answer:

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Answer 2

Answer:

If a point P(x,y) divides a line segment having end points coordinates (x1,y1) and (x2,y2), then coordinates of the point P can be find using formula:

x=m1+m2m1x2+m2x1

y=m1+m2m1y2+m2y1

Let P(x,y) be the point which divides the line joining the points A(−5,11) and B(4,−7) in the ratio 7:2.

x=(7×4+2×(−5))/(7+2)

=(28−10)/9

=18/9

=2

y=(7×(−7)+2×11)/9

=(−49+22)/9

=−27/9

=−3

Therefore, required point is (2,−3).

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