A quick reminder about some of the basics of a linear function:\[ \begin{array} {rrcl} \text{Slope-Intercept Form:}&f(x)&=mx+b\\ \text{Domain:}&(-\infty,\infty) \end{array} \]In this form, \(m\) represents the slope of the function, often described as the "rise over run" and \(b\) represents the vertical intercept, \((0,b)\).
Some other formulas: \[ \begin{array}{rrcl} \text{Slope: }&m&=&\displaystyle\frac{y_2-y_1}{x_2-x_1}\\ \text{Standard Form:}&Ax+By&=&C\\ \text{Point Slope Form:}&y-y_1&=&m(x-x_1)\\ \text{Point Slope Form(2):}&y&=&m(x-x_1)+y_1 \end{array} \]
In these formulas, \(m\) represents the slope, \((x_1,y_1)\) and/or \((x_2,y_2)\) represent points on the lines and \(A\), \(B\) and \(C\) can be any real number.