Question

CAN SOMEONE PLEASE HELP?
Which inequality matches the graph?
A.-2x + 3y > 7
B.2x - 3y < 7
C.3x + 2y ≥ 7
D.3x - 2y ≤ 7

Answer 1

ok first, the equation of the line. The slope looks like 3/2. y-intercept looks like 7/2-ish. y=3/2x + 7/2 (multiply both sides by 2 to get rid of fractions)
2y=3x+7 (get x on the left side)
3x+2y=7 (yay)

now, the graph has the top shaded. So...
3x+2y >= 7
is the answer. so D.