Cartesian Plane/Coordinates (Leaving Cert Mathematics): Flashcards

2D plane with perpendicular $x$ & $y$ axes

$(0, 0)$

Four

Both positive

$x$ negative, $y$ positive

Both negative

$x$ positive, $y$ negative

Horizontal distance from origin

Vertical distance from origin

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

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

$y = mx + c$

Slope of the line

$y$-intercept (where line crosses $y$-axis)

$m = \frac{y_2 - y_1}{x_2 - x_1}$