math

Slope formula (given two points $(x_1, y_1)$ and $(x_2, y_2)$)

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

Slope-intercept form of a linear equation

$y = mx + b$, where $m$ represents the slope and $b$ represents the $y$-intercept.

Point-slope form of a linear equation

$y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a known point on the line.

Method to convert point-slope form into slope-intercept form

Distribute the slope $m$ across the term $(x - x_1)$, then isolate the variable $y$ by adding $y_1$ to both sides.

Standard form of a linear equation

$Ax + By = C$, where $A$, $B$, and $C$ are typically integers, and $A \ge 0$.