Question

Find the coordinates of the midpoint of the line segment joining the points $(-3, 10)$ and $(5, 4)$.

Hint:

To find a midpoint, average the x-coordinates and y-coordinates separately.

Answer 1

Step 1: Recall midpoint formula.
\[ M = \left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right) \]
Step 2: Substitute given points.
\[ M = \left(\dfrac{-3 + 5}{2}, \dfrac{10 + 4}{2}\right) = \left(\dfrac{2}{2}, \dfrac{14}{2}\right) = (1, 7) \]
Step 3: Conclusion.
Hence, the midpoint is (1, 7).