Example

Rewrite the standard form equation $4x-2y=14$ in slope-intercept form. Then determine the slope and $y$-intercept of the line described by the equation.

Solution

To write the equation in slope-intercept form, we must solve for $y$:

The slope-intercept form is $y=2x-7$. The slope of the line is $m=2$, and the $y$-intercept is is the point $(0,-7)$.