Question

J is the midpoint of line segment KL The coordinates of J are (8, 7) and the coordinates of K are (3, 4) find the coordinates of L.

Answer 1

The slope between the points (8, 7) and (3, 4) is 3/5. Since J is the midpoint of the line segment KL, then it's clear that K has to be (13, 10).

Let's prove it. From the distance formula, we observe that

\[JL=\sqrt{(8-3)^2+(7-4)^2}=\sqrt{34},\]\[KJ=\sqrt{(13-8)^2+(10-7)^2}=\sqrt{34}.\]They're the same, thus the point K = (13,10) is correct.

Answer 2

Thank you, so so much.