Question

Draw a diagram that satisfies the conditions stated. If the conditions cannot be satisfied, write not possible.

Points A and B on a number line have coordinates $-\mathbf{3}.\mathbf{5}$and $\mathbf{8}.\mathbf{5}$. Find the coordinates of the midpoint of width="25" height="24" role="math">AB¯.

Short answer

The coordinated of the midpoint of $\overline{\mathit{A}\mathit{B}}$is $\mathbf{2}.\mathbf{5}$.

The diagram is:

Step-by-step solution

Step 1. Define midpoint.

A midpoint is the middle point of a line segment that divides the line segment into two equal halves.

Step 2. Sketch the diagram.

The midpoint of$\overline{AB}$ is:

$$\begin{gathered} \text{Midpoint}=\frac{-3.5+8.5}{2} \\ =\frac{5}{2} \\ =2.5 \end{gathered}$$

The diagram is:

Step 3. State the conclusion.

Therefore, the coordinate of $\overline{AB}$is $2.5$.

And the diagram is: