The point K lies on the segment JL.
Find the coordinates of K so that the ratio of JK to KL is 4 to 3.
J(-4,6)
X (?, ?)
L (17,-22)



Answer :

Given the points J (-4,6) and L (17, -22), find the coordinates of point K on JL such that the ratio of JK to JL is 4:3

Coordinates of K (-9.25, 13)

J (-4,6)   L (17, -22)   and JK:JL =  4:3

So on operating the abscissa W.R.T the given ratio 4:3

we get,

-4 -17 = -21

-21 : -4 = 5.25

-4 -5.25 = -9.25

Now on operating the ordinate of the point K W.R.T the given ratio 4:3

-22 -6 = -28

-28 : -4 = 7

6 + 7 = 13

therefore, the coordinates of K are (-9.25, 13)

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