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What are the coordinates of the midpoint of a line segment connecting $(x_1, y_1)$ and $(x_2, y_2)$, and what is the distance formula?

Study flashcard from the deck Digital SAT Math: Algebra, Advanced Math & Geometry.

Answer

Midpoint $M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$. Distance $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.

Explanation

The distance formula is a direct application of the Pythagorean Theorem $a^2 + b^2 = c^2$ in the Cartesian coordinate plane.

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