Question

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

Step1: Understand the mid - point concept

If the ratio of \(MX\) to \(XJ\) is \(1:1\), then \(X\) is the mid - point of the line segment \(MJ\).

Step2: Find the coordinates of \(M\) and \(J\)

From the number line, the coordinate of \(M\) is \(2\) and the coordinate of \(J\) is \(18\).

Step3: Use the mid - point formula

The mid - point formula for two points \(a\) and \(b\) on a number line is \(x=\frac{a + b}{2}\). Here \(a = 2\) and \(b=18\), so \(x=\frac{2+18}{2}\).

$$x=\frac{20}{2}=10$$

Answer:

\(10\)