Which inequality matches the graph?

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 =

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 =

∴ m = =

∴ The slope of the line is positive

∴ The inequality -3x + 2y ≥ 7 matches the graph

the answer to this question is 3/19

step-by-step explanation: