## Intermediate Algebra: Connecting Concepts through Application

The graph is shown with a slope of $-\frac{1}{5}$ and a y-intercept of 1. The graph should have a slope of $\frac{1}{5}$ and a y-intercept of -1. The correct graph is shown below:
The equation $x-5y=5$ must be written in slope-intercept form: Get $y$ by itself by subtracting x from both sides of the equation to get $-5y=−x+5$ Divide -5 on both sides of the equation to get $y=$$\frac{1}{5}x-1$ The slope is $\frac{1}{5}$ and the y-intercept is -1. The graph is shown with a slope of $-\frac{1}{5}$ and a y-intercept of 1.