1. The problem is to convert a linear equation into slope-intercept form. 2. The slope-intercept form of a line is given by the formula $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. To convert any linear equation to this form, isolate $y$ on one side of the equation. 4. For example, if the equation is $$Ax + By = C$$, solve for $y$ by subtracting $Ax$ from both sides: $$By = -Ax + C$$. 5. Then divide every term by $B$ to get $$y = -\frac{A}{B}x + \frac{C}{B}$$. 6. Now the equation is in slope-intercept form with slope $m = -\frac{A}{B}$ and y-intercept $b = \frac{C}{B}$. 7. This form makes it easy to graph the line and understand its slope and intercept.