Question

in the figure below, k lies between j and l. find the location of k so that jk is $\frac{1}{2}$ of jl. j -31 k? l -5 location of k :

Explanation:

Step1: Find the mid - point formula

The formula to find the mid - point of a line segment with endpoints $x_1$ and $x_2$ is $x=\frac{x_1 + x_2}{2}$. Here, $x_1=-31$ (co - ordinate of $J$) and $x_2 = - 5$ (co - ordinate of $L$).

Step2: Substitute the values

Substitute $x_1=-31$ and $x_2=-5$ into the formula: $x=\frac{-31+( - 5)}{2}=\frac{-31 - 5}{2}=\frac{-36}{2}$.

Step3: Calculate the result

$\frac{-36}{2}=-18$.

Answer:

$-18$