The problem asks to find the coordinate of the midpoint of segment $RP$ on the number line.

From the image, the coordinates of points $R$ and $P$ are:

• $R = \frac{9}{2}$
• $P = \frac{1}{2}$

To find the midpoint $M$ of the segment $RP$, use the midpoint formula:

$M = \frac{x_1 + x_2}{2}$

Substituting the coordinates of $R$ and $P$:

$M = \frac{\frac{9}{2} + \frac{1}{2}}{2} = \frac{\frac{10}{2}}{2} = \frac{10}{4} = \frac{5}{2}$

Thus, the coordinate of the midpoint is $\frac{5}{2}$.

Would you like further details or explanations?

Here are 5 related questions for practice:

1. What is the midpoint of a segment between $(3, 4)$ and $(-1, -2)$?
2. How would you find the distance between $R$ and $P$?
3. If $R = \frac{9}{2}$ and $P = 0$, what would the midpoint be?
4. How would the midpoint change if $R$ were $6$ instead of $\frac{9}{2}$?
5. What is the general formula for finding the midpoint in a 2D coordinate plane?

Tip: The midpoint formula applies equally in both 1D and 2D coordinate planes; for 2D, it is applied to both x and y coordinates separately.