Answer:
The inequality -3x + 2y ≥ 7 matches the graph ⇒ D
Step-by-step explanation:
The slope of the line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]
From the given graph
∵ The direction of the line is increased from left to right
∴ The slope of the line is positive
∵ The line is solid and the shaded area is over the line
∴ The sign of inequality should be ≥
→ We have only one answer that has a sign of inequality ≥, let us check
its slope
∵ -3x + 2y ≥ 7
∴ a = -3 and b = 2
∵ m = [tex]\frac{-a}{b}[/tex]
∴ m = [tex]\frac{-(-3)}{2}[/tex] = [tex]\frac{3}{2}[/tex]
∴ The slope of the line is positive
∴ The inequality -3x + 2y ≥ 7 matches the graph
