Question

find the points which divide the line segment joining the points( 1, 7 )(- 6, - 3) in the ratio 2 :3

Answer 1

Step-by-step explanation:

using sectional formula

(x,y)=(x1m2+m1x2/m1+m2,y1m2+m1y2/m1+m2)

m1=m2:= 2:3

so

(x,y)=(1.3+2.-6/2+3,7.3+2.-3/2+3)

=(-9/5,15/5)

[-9/5,3)

Answer 2

Answer: The point that divides the line segment joining (1, 7) and (-6, -3) in the ratio 2:3 is (-9/5, 13/5).

To find the point that divides the line segment joining two points, (x1, y1) and (x2, y2), in the ratio m:n, we can use the following formula:

(x, y) = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n))

Using this formula, we can find the points that divide the line segment joining (1, 7) and (-6, -3) in the ratio 2:3 as follows:

m = 2, n = 3, x1 = 1, y1 = 7, x2 = -6, y2 = -3

x = ((2*-6) + (31)) / (2+3) = -9/5

y = ((2-3) + (3*7)) / (2+3) = 13/5

Therefore, the point that divides the line segment joining (1, 7) and (-6, -3) in the ratio 2:3 is (-9/5, 13/5).

Learn more about the point here

https://brainly.in/question/1131747

Learn more about the ratio here

https://brainly.in/question/21176443

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