Question

use the drawing tool(s) to form the correct answer on the provided number line. draw a line segment with a length of 3 1/3 and a midpoint of -1. click on a tool to begin drawing.

Explanation:

Step1: Recall mid - point and length formula

Let the mid - point of the line segment be $M=-1$ and the length $L = 3\frac{1}{3}=\frac{10}{3}$. If the endpoints of the line segment are $x_1$ and $x_2$, the mid - point formula is $M=\frac{x_1 + x_2}{2}$ and the length formula is $L=\vert x_2 - x_1\vert$.

Step2: Find the distance from mid - point to endpoints

Since the length of the line segment is $\frac{10}{3}$, the distance from the mid - point to each endpoint is $\frac{L}{2}=\frac{5}{3}$.

Step3: Calculate the endpoints

If the mid - point $M=-1$, then one endpoint is $x_1=-1-\frac{5}{3}=-\frac{3 + 5}{3}=-\frac{8}{3}$ and the other endpoint is $x_2=-1+\frac{5}{3}=\frac{-3 + 5}{3}=\frac{2}{3}$.
Using the line - segment drawing tool on the number line, mark the points at $-\frac{8}{3}$ and $\frac{2}{3}$ and draw the line segment between them.

Answer:

Draw a line segment with endpoints at $-\frac{8}{3}$ and $\frac{2}{3}$ on the given number line.