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the point k is the mid - point of jl. find the location of j. location …

Question

the point k is the mid - point of 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 $K=-13$ and the coordinate of $L = - 5$. The mid - point formula for a one - dimensional line is $K=\frac{J + L}{2}$.

Step2: Substitute values and solve for $J$

Substitute the known values into the formula: $-13=\frac{x+( - 5)}{2}$. Multiply both sides by 2: $-13\times2=x - 5$. So, $-26=x - 5$. Add 5 to both sides: $x=-26 + 5=-21$.

Answer:

$-21$