Question

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

Explanation:

Step1: Identify coordinates

The coordinate of point C is - 4 and the coordinate of point E is 2.

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

Since the ratio of CX to XE is 1:1, X is the mid - point of CE. The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(x=\frac{x_1 + x_2}{2}\). Here \(x_1=-4\) and \(x_2 = 2\).
\[x=\frac{-4 + 2}{2}\]

Step3: Calculate the value of x

\(\frac{-4+2}{2}=\frac{-2}{2}=-1\)

Answer:

-1