Question

If the midpoint between (x, 3) and (9, 9) is (7, 6), find the value of x.
A. -2
B. 23
C. 5
D. 9

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&(x\quad ,&3)\quad &(9\quad ,&9)
\end{array}\\
\text{middle point of 2 points }\\
\left(\cfrac{x_2 + x_1}{2}\quad ,\quad \cfrac{y_2 + y_1}{2} \right)\implies \left(\cfrac{9 + x}{2}\quad ,\quad \cfrac{9 + 3}{2} \right)=(7,6)\qquad thus\\ \quad \\
\cfrac{9 + x}{2}=7\)

Answer 2

solve for "x" to find "x"