Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y\leq -\frac{5}{6}x+\frac{2}{3}[/tex]
we know that
The solution of the inequality is the shaded area below the solid line
[tex]y=-\frac{5}{6}x+\frac{2}{3}[/tex]
The slope of the solid line is negative [tex]m=-\frac{5}{6}[/tex]
The y-intercept of the solid line is [tex](0,\frac{2}{3})[/tex]
The x-intercept of the solid line is [tex](\frac{4}{5},0)[/tex]
using a graphing tool
Plot the intercepts, join the points and shaded the area below the solid line
The graph in the attached figure