Question

refer to the number line. point x is what fractional distance from e to a?

Explanation:

Step1: Identify coordinates

The coordinate of point A is - 7 and the coordinate of point E is 8.

Step2: Calculate distance

The distance formula between two points \(x_1\) and \(x_2\) on a number - line is \(d=\vert x_2 - x_1\vert\). Here, \(x_1=-7\) and \(x_2 = 8\), so \(d=\vert8-(-7)\vert=\vert8 + 7\vert=15\).

Step3: Calculate fractional distance from E to A

The distance from E to A is the same as from A to E. The distance from E to A is 15 units. The distance from E to X: The coordinate of X is - 2, and the coordinate of E is 8. The distance from E to X is \(\vert-2 - 8\vert=\vert-10\vert = 10\). The fractional distance is \(\frac{10}{15}=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)