Hey there! :)
Answer:
(3.5, -1).
Step-by-step explanation:
Use the midpoint formula to solve this problem:
![(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28x_m%2C%20y_m%29%20%3D%20%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Plug in the coordinates given:
![(\frac{10-3}{2}, \frac{8-10}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B10-3%7D%7B2%7D%2C%20%5Cfrac%7B8-10%7D%7B2%7D%29)
Simplify:
![(\frac{7}{2}, \frac{-2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B7%7D%7B2%7D%2C%20%5Cfrac%7B-2%7D%7B2%7D%29)
Therefore, the coordinates of the mid-point are:
(3.5, -1).
X^-n duals: 1/x^n. You cannot have negative exponents so do its inverse to get rid of the negative exponent
First bring 3x to the other side, which will give you -2y= -16-3y. Then divide everything by -2, which will give you y=8+3/2x