The graph is a dashed line, the shade of the area below the boundary line.
The given inequality is [tex]y <[/tex][tex]\frac1}{3}x+1[/tex].
We need to find the boundary line.
The slope-intercept form of the equation is y=mx+c.
We need to find the slope (m) and y-intercept (c) for the boundary line.
Now, simplify the right side
Combine [tex]\frac{1}{3}[/tex] and x.
That is [tex]y < \frac{x}{3}+1[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Find the value of m and c using the form y=mx+c.
That is, m=[tex]\frac{1}{3}[/tex] and c=1
The slope of the line is the value of m, and the y-intercept is the value of c.
Slope:1/3
y-intercept: (0, 1)
Graph a dashed line, the shade of the area below the boundary line.
Since, [tex]y < \frac{1}{3}x+1[/tex].
Therefore, the graph is a dashed line, the shade of the area below the boundary line.
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