Definition 4.5.4 Slope-Intercept Form

When \(x\) and \(y\) have a linear relationship where \(m\) is the slope and \((0,b)\) is the \(y\)-intercept, one equation for this relationship is

\begin{equation} y=mx+b\tag{4.5.1} \end{equation}

and this equation is called the slope-intercept form of the line. It is called this because the slope and \(y\)-intercept are immediately discernible from the numbers in the equation.