Slope Intercept 56364E

1. **State the problem:** We need to rewrite the equation $$5x + 2y = 6$$ in slope-intercept form, which is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 2. **Isolate $$y$$:** Start by moving $$5x$$ to the right side by subtracting $$5x$$ from both sides: $$2y = -5x + 6$$ 3. **Divide both sides by 2:** To solve for $$y$$, divide every term by 2: $$y = \frac{-5x}{2} + \frac{6}{2}$$ 4. **Simplify the fractions:** $$y = -\frac{5}{2}x + 3$$ 5. **Final slope-intercept form:** $$y = -\frac{5}{2}x + 3$$ This means the slope $$m = -\frac{5}{2}$$ and the y-intercept $$b = 3$$.