Question

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Answer 1

This is the midpoint formula:
\[(\frac{x _{1}+x _{2}}{2},\frac{y _{1}+y _{2}}2)\]

Answer 2

x_1 and x_2 are the x coordinates of the two points.
y_1 and y_2 are the y coordinates of the two points.

Answer 3

I will demonstrate with # 6

Answer 4

The two points are:
(12,-7) and (-4,7)
so:
\[(\frac{12+(-4)}{2},\frac{-7+7}{2}) =( \frac{8}{2},\frac{0}{2})=(4,0)\]
And that is the midpoint.

Answer 5

No. In #7 the midpoint is given.

Answer 6

One point is (6,3) and the midpoint is (-3,4)
\[(\frac{6+x}{2},\frac{3+y}{2})=(-3,4)\]

Answer 7

\[\frac{6+x}{2}=-3\]
\[\frac{3+y}{2}=4\]

Answer 8

That is the midpoint formula with the variables in a different place.