Question

the point t is the mid - point of $overline{sv}$. find the location of s.

Explanation:

Step1: Recall mid - point formula

Let the coordinate of $S$ be $x$, the coordinate of $T$ be $t = 6$ and the coordinate of $V$ be $v=14$. The mid - point formula for a one - dimensional number line is $t=\frac{x + v}{2}$.

Step2: Rearrange the formula to solve for $x$

Starting from $6=\frac{x + 14}{2}$, multiply both sides by 2: $2\times6=x + 14$, which simplifies to $12=x + 14$.

Step3: Solve for $x$

Subtract 14 from both sides: $x=12 - 14=- 2$.

Answer:

$-2$