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Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4

User Jdp
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4.6k points

2 Answers

3 votes

Answer: (2.8,-3)

Explanation:

The other guy got mixed up with-2+16 which is positive 14/5 which is 2.8 not negative

User Mikelis Kaneps
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4.2k points
2 votes

Answer:

The coordinates of point k are (-2.8,-3)

Explanation:

we shall use the internal division formula to find the coordinates of point k

Mathematically, the formula is as follows;

Let’s call the coordinates of point k (x,y)

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

From the question;

m = 1 , n = 4

x1 = 4, x2= -2

y1 = -7 , y2 = 13

Substituting these values in the equation, we have the following;

1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)

(-2+16)/5, (13 -28)/5

= -14/5, -15/5

= (-2.8, -3)

User Sossenbinder
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4.0k points