This shaded area represents the region where y is less than or equal to 16 + (2/7)x.
How to solve
To graph the inequality 7y ≤ 112 + 2x, follow these steps:
Rewrite the inequality in slope-intercept form:
y ≤ 16 + (2/7)x
Identify the slope and y-intercept:
Slope: 2/7
Y-intercept: 16
Draw the appropriate y- and x-axis labels.
Plot the y-intercept:
Place a point at (0, 16) on the graph.
Use the slope to find additional points:
From the y-intercept (0, 16), move 2 positions up and 7 positions to the right to locate another point on the line. This point would be (7, 18).
Draw a dotted line passing through the y-intercept and the additional point:
Since the inequality is ≤, use a dotted line to indicate that the line represents the boundary, but points on the line and below the line are solutions.
Shade the area below the dotted line:
This shaded area represents the region where y is less than or equal to 16 + (2/7)x.