graph the line with the equation y = -\\frac{1}{3}x - 5.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-\frac{1}{3}x - 5$, when $x = 0$, $y=-5$. So the y - intercept is the point $(0,-5)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-\frac{1}{3}x - 5$. Add 5 to both sides: $5=-\frac{1}{3}x$. Multiply both sides by - 3 to solve for $x$, we get $x=-15$. So the x - intercept is the point $(-15,0)$.

Step3: Plot the points and draw the line

Plot the points $(0,-5)$ and $(-15,0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,-5)$ and $(-15,0)$ and draw a straight - line through them.