Subjects algebra

Slope From Standard

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1. **State the problem:** Find the slope of the line given by the equation $$-20 = x + 4y$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Isolate $$y$$:** Starting from $$-20 = x + 4y$$, subtract $$x$$ from both sides: $$-20 - x = 4y$$ 4. **Divide both sides by 4 to solve for $$y$$:** $$y = \frac{-20 - x}{4} = -5 - \frac{1}{4}x$$ 5. **Rewrite to match slope-intercept form:** $$y = -\frac{1}{4}x - 5$$ 6. **Identify the slope:** The coefficient of $$x$$ is the slope $$m = -\frac{1}{4}$$. **Final answer:** The slope of the line is $$-\frac{1}{4}$$.