Slope Y Intercept Ed6A9D

1. **State the problem:** We need to find the slope and the y-intercept of the line given by the equation $$3x + 7y = 9$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form of a line is $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Isolate $$y$$:** $$7y = -3x + 9$$ 4. **Divide both sides by 7:** $$y = \frac{-3x + 9}{7}$$ 5. **Simplify the fraction:** $$y = -\frac{3}{7}x + \frac{9}{7}$$ 6. **Identify slope and y-intercept:** - Slope $$m = -\frac{3}{7}$$ - Y-intercept $$b = \frac{9}{7}$$ **Final answer:** - Slope: $$-\frac{3}{7}$$ - Y-intercept: $$\frac{9}{7}$$