# The general form of an equation of a line ---- ## $ax+by+c=0$ where $a$, $b$ and $c$ are three real numbers --- # The slope-intercept form (the slope-intercept equation) of an equation of a line ---- ## $y=mx+p$ where $m$ and $p$ are real numbers, $m$ being the slope and $p$ the $y$-intercept. This form is unique for any line not parallel to the $y$-axis. --- # The point-slope form of an equation of a line ---- ## $y-y_0=m(x-x_0)$, where $m$ is a real number, the slope, and $(x_0-y_0)$ is a couple of real numbers, the coordinates of a point on the line. This form is not unique, as any point on the line can be used. --- # The intercept form of an equation of a line ---- ## $\dfrac{x}{q}+\dfrac{y}{p}=1$ where $p$ and $q$ are real nonzero numbers, respectively the $y$-intercept and the $x$-intercept --- # The slope (or rate of change) of the line connecting two points $(x_0-y_0)$ and $(x_1-y_1)$ ---- ## $\dfrac{y_1-y_0}{x_1-x_0}$ <style> .slides {background-image:url("https://raw.githubusercontent.com/tremulotmaths/latex/master/von_koch_transparent.png");} .slides h1 {padding:2em; font-family:Arial; background-color:#133E29; opacity: 0.9;color:white; font-size:1em!important;} .slides h2 {background:#131750 ; opacity: 0.9;padding : 2em 0.2em; color:white; font-size:1em!important;} .slides h4 {margin-bottom:1.5em} </style>