To find the distance between the points $(-7, 3)$ and $(8, 3)$, we use the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Given the points $(-7, 3)$ and $(8, 3)$:

• $x_1 = -7$, $y_1 = 3$
• $x_2 = 8$, $y_2 = 3$

Substitute the values into the distance formula:

$d = \sqrt{(8 - (-7))^2 + (3 - 3)^2} = \sqrt{(8 + 7)^2 + 0^2} = \sqrt{15^2} = 15$

So, the distance between the points is 15. The correct answer is option D.

Would you like more details on the steps or any clarification?

Here are 5 related questions to explore further:

1. How does the distance formula apply to points in 3D space?
2. What happens if the points have different $y$-coordinates as well?
3. Can the distance formula be derived using the Pythagorean theorem?
4. What is the formula to calculate the midpoint of two points?
5. How do you find the equation of a line passing through two given points?

Tip: The distance formula is essentially an application of the Pythagorean theorem in coordinate geometry.