Question

refer to the number line. which point on $overline{ae}$ is $\frac{2}{3}$ of the distance from a to e? a) x b) y c) z d) w

Explanation:

Step1: Calculate the distance from A to E

The coordinate of A is - 7 and the coordinate of E is 8. The distance $d = 8-(-7)=15$.

Step2: Calculate $\frac{2}{3}$ of the distance

$\frac{2}{3}\times15 = 10$.

Step3: Find the coordinate of the point

Start from A's coordinate - 7 and move 10 units along the number - line. The coordinate is $-7 + 10=3$.
The point with coordinate 3 on the number - line is Y.

Answer:

B. Y