The graph of the inequality y < -1/5x + 1 is a dashed line with shading below it, representing all points that satisfy the inequality (see graph below).
How to graph an inequality?
To graph the inequality y < -1/5x + 1, follow these steps:
Begin by graphing the line y < -1/5x + 1. This line has a y-intercept of 1 and a slope of -1/5, which means for every 5 units you move to the right, you go down by 1 unit.
Since the inequality is y < -1/5x + 1, you need to shade the region below the line. This represents all the points that satisfy the inequality.
Combining these steps, the graph of y < -1/5x + 1 should show a dashed line (indicating that the points on the line are not included) with shading below the line, as shown in the graph in the attachment below.