Question

the point k is the midpoint of $overline{jl}$. find the location of j.
location of j:

Explanation:

Step1: Recall mid - point formula

Let the coordinate of $J$ be $x$, the coordinate of $K=-3$ and the coordinate of $L = 4$. The mid - point formula for two points $(x_1,x_2)$ on a number line is $M=\frac{x_1 + x_2}{2}$, where $M$ is the mid - point. Here, $K$ is the mid - point of $JL$, so $-3=\frac{x + 4}{2}$.

Step2: Solve the equation for $x$

Multiply both sides of the equation $-3=\frac{x + 4}{2}$ by 2: $-3\times2=x + 4$, which gives $-6=x + 4$.

Step3: Isolate $x$

Subtract 4 from both sides of the equation $-6=x + 4$. We get $x=-6 - 4=-10$.

Answer:

$-10$