Equation of a Straight Line (Edexcel A-Level Mathematics): Flashcards

$y = mx + c$, where $m$ is the slope and $c$ is the $y$-intercept.

$m = (y_2 - y_1) / (x_2 - x_1)$ using two points.

$c$ is the $y$-intercept where the line crosses the $y$-axis.

$2x - y - 3 = 0$ is the general form of the line.

$y - y_1 = m(x - x_1)$ for a known point and slope.

Use $y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1)$.

$Ax + By + C = 0$, where $A$, $B$, and $C$ are constants.

$y - 7 = 4(x - 2)$ is the point-slope form.

Gradient $m = -6/5$ after rearranging to $y = -6/5x + 3/5$.

$y - y_1 = m(x - x_1)$ for any point $(x_1, y_1)$.