Graph the line. \( y=-\frac{1}{5} x-6 \)

To graph the line \( y=-\frac{1}{5} x-6 \), start by identifying the y-intercept, which is \(-6\). Plot the point (0, -6) on the graph. Next, the slope \(-\frac{1}{5}\) tells you that for every 5 units you move to the right (positive x-direction), you move 1 unit down (negative y-direction). From the y-intercept, move right 5 units to (5, -6) and then down 1 unit to (5, -7). Connect these points with a straight line extending in both directions. To verify the accuracy of your line, you can test another point by substituting an x-value into the equation. For instance, if you substitute \( x = -5 \), you find \( y = -\frac{1}{5}(-5) - 6 = 1 - 6 = -5 \). So the point (-5, -5) is also on the line!