Example

Find an equation of the line with $y$-intercept $(0,-4)$ and slope $2/3$.

Solution

Since we are given a point and the slope, we can immediately write down the point-slope form equation:

We will soon get into the habit of solving our linear equations for the variable $y$. Doing so in this case gives

In this new form, the slope and the $y$-intercept can be read directly from the equation.