graph the line with the equation y = -\\frac{1}{5}x + 7.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. Here, $b = 7$, so the line crosses the y - axis at the point $(0,7)$.

Step2: Find the x - intercept

Set $y = 0$ in the equation $0=-\frac{1}{5}x + 7$. Then $\frac{1}{5}x=7$, and $x = 35$. So the line crosses the x - axis at the point $(35,0)$.

Step3: Plot the points and draw the line

Plot the points $(0,7)$ and $(35,0)$ on the coordinate plane and draw a straight line through them.

Answer:

Plot the points $(0,7)$ and $(35,0)$ and draw a straight - line through them to graph $y =-\frac{1}{5}x + 7$.