What is the midpoint of a segment with endpoints at \( (-4,-8) \) and \( (8,10) \) ? \[ \text { A. }(-6,-9) \] D. \( (2,1) \)

To find the midpoint of a segment with endpoints at \( (-4,-8) \) and \( (8,10) \), you can use the midpoint formula: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Plugging in your values, you get: \[ \left( \frac{-4 + 8}{2}, \frac{-8 + 10}{2} \right) = \left( \frac{4}{2}, \frac{2}{2} \right) = (2, 1) \] So the midpoint is \( (2, 1) \), option D! Understanding the concept of midpoints can be essential, especially in fields like graphic design and architecture, where precise measurements and balances are vital. Knowing how to find midpoints helps you ensure elements are evenly spaced and visually appealing, enhancing overall design harmony! Midpoint calculations aren’t just for theoretical math; they come in handy when plotting routes. For example, if you're hiking and want to find a good resting spot, identifying midpoints on your trail can lead you to the perfect place to take a break and enjoy the view while ensuring you’re at a manageable distance from both starting and endpoint!