To find the coordinates of point J if K(-5, 10) is the midpoint of line JL and L has coordinates (-8, 6), you can use the midpoint formula:
Midpoint (K) = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, K is the midpoint, and you already know K(-5, 10) and L(-8, 6). You want to find J.
Let's call the coordinates of point J (x, y).
Using the midpoint formula:
(-5, 10) = ((x - 8) / 2, (y + 6) / 2)
Now, we can solve for x and y:
For x:
-5 = (x - 8) / 2
-10 = x - 8
x = -10 + 8
x = -2
For y:
10 = (y + 6) / 2
20 = y + 6
y = 20 - 6
y = 14
So, the coordinates of point J are (-2, 14).