1. Let K = (-7, -10) and M = (-7, 0)
2. Let L be (x, y)
3. The midpoint formula is M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
4. Plug in the known values:
-7 = \frac{-7 + x}{2}
0 = \frac{-10 + y}{2}
5. Solve for x :
-7 = \frac{-7 + x}{2}
-14 = -7 + x
x = -7
6. Solve for y :
0 = \frac{-10 + y}{2}
0 = -10 + y
y = 10
Therefore, the coordinates of point L are (-7, 10) .