Answer:
[tex]y<-\frac{4}{3}x+5[/tex]
Step-by-step explanation:
Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).
Since, the shaded area is below the dotted line, inequality will have the sign less than (<).
Therefore, equation of the inequality will be in the form of,
y < mx + b
Here, m = slope of the line
b = y-intercept
Slope of the line passing through two points (0, 5) and (3, 1),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-1}{0-3}[/tex]
= [tex]-\frac{4}{3}[/tex]
Y-intercept (at x = 0),
b = 5
Therefore, equation of the inequality will be,
[tex]y<-\frac{4}{3}x+5[/tex]
