SOLUTION: The point P divides the interval joining points A(-1,7) and B(4,2) in the ratio K:L. Write down the co-ordinates of point P in terms of K,L. Hence, find the ratio in which the line

Question 1075041: The point P divides the interval joining points A(-1,7) and B(4,2) in the ratio K:L. Write down the co-ordinates of point P in terms of K,L. Hence, find the ratio in which the line y=2x+3 divides the interval joining A(-1,7) and B(4,2)
I figured out the first part of the question, but I'm not sure how to do the second part. Any help is appreciated!!
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The line for AB will be found as and if this intersects at P with the given line , this point P will be found to be P (1,5).

Looking at x-component
K is
L is

Looking at y-component
K is
L is

The ratio K:L seems to be 2:3.
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