Question

refer to the number line. find the coordinate of point x such that the ratio of mx to xj is 1:1.

Explanation:

Step1: Recall mid - point formula

When the ratio of $MX$ to $XJ$ is $1:1$, point $X$ is the mid - point of segment $MJ$. The mid - point formula for two points $a$ and $b$ on a number line is $x=\frac{a + b}{2}$, where $a$ is the coordinate of $M$ and $b$ is the coordinate of $J$.

Step2: Identify coordinates of $M$ and $J$

From the number line, the coordinate of $M$ is $2$ and the coordinate of $J$ is $18$.

Step3: Calculate the coordinate of $X$

Substitute $a = 2$ and $b=18$ into the mid - point formula: $x=\frac{2 + 18}{2}=\frac{20}{2}=10$.

Answer:

$10$