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: Identify the coordinates of M and J

The coordinate of M is 2 and the coordinate of J is 18.

Step2: Use the mid - point formula for ratio 1:1

Since the ratio of MX to XJ is 1:1, X is the mid - point of the line segment MJ. The mid - point formula for two points \(a\) and \(b\) on a number line is \(x=\frac{a + b}{2}\), where \(a = 2\) (coordinate of M) and \(b=18\) (coordinate of J).
\[x=\frac{2 + 18}{2}\]

Step3: Calculate the value of x

\[x=\frac{20}{2}=10\]

Answer:

10