Question

the point g is the midpoint of $overline{fh}$. find the location of f.

Explanation:

Step1: Recall mid - point formula

Let the coordinate of $F$ be $x$, the coordinate of $G=-14$ and the coordinate of $H = - 2$. The mid - point formula for a one - dimensional number line is $G=\frac{F + H}{2}$.

Step2: Rearrange the formula to solve for $F$

Multiply both sides of the equation $-14=\frac{x+( - 2)}{2}$ by 2: $-14\times2=x - 2$. So, $-28=x - 2$.

Step3: Solve for $x$

Add 2 to both sides of the equation: $x=-28 + 2=-26$.

Answer:

$-26$