Distance Formula (Leaving Cert Mathematics): Flashcards

Distance between two points in a Cartesian plane

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

Pythagorean theorem

Right triangle

$|x_2 - x_1|$ and $|y_2 - y_1|$

Represents the distance $d$

Straight line

Identify coordinates $(x_1, y_1)$ and $(x_2, y_2)$

Substitute values into the formula

Simplify to find $d$

13 units