Mid-Point of a Line (Grade 10 NSC Matric Mathematics): Flashcards

Point exactly halfway between two endpoints

$M = \left(\frac{x_1+x_2}{2}; \frac{y_1+y_2}{2}\right)$

Takes arithmetic mean (average) of corresponding coordinates

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

$y = \frac{y_1 + y_2}{2}$

Draw a sketch

On the line, at equal distances from both endpoints

Diagonals bisect each other (share same mid-point)

Substitute known mid-point into formula, solve for unknown

Use brackets when substituting to avoid sign errors