Answer:
Option C
Step-by-step explanation:
From the graph attached,
Let the equation of the line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Line in the graph passes through two points (0, -2) and (4, 4)
Slope of the line 'm' = [tex]\frac{4-(-2)}{4-0}[/tex]
= [tex]\frac{6}{4}[/tex]
= [tex]\frac{3}{2}[/tex]
y-intercept of the line 'b' = -2
Therefore, equation will be,
y = [tex]\frac{3}{2}x-2[/tex]
2y = 3x - 4
3x - 2y = 4
Since, graph of the linear equation is a dark line and shaded region is on the left side of the line,
Inequality showing the solution area will be,
3x - 2y ≤ 4
Option C will be the answer.
