Question

Which inequality is represented by the graph?



Responses

y≤−2x+2.5
y less than or equal to negative 2 x plus 2.5

y≥−2x+2.5
y greater than or equal to negative 2 x plus 2.5

y≥−12x+2.5
y greater than or equal to negative one half x plus 2.5

y>−2x+2.5
y greater than negative 2 x plus 2.5
Coordinate graph showing ranges from negative five to five on both axes. A solid line that passes through the points begin ordered pair zero comma 2.5 end ordered pair and begin ordered pair one comma 0.5 end ordered pair. The region above the line is shaded.

Answer 1

y ≥ −2x + 2.5

Reason: the line has equation y = −2x + 2.5 (slope −2, y‑intercept 2.5). The line is solid, so use ≥ or ≤, and the region above the line is shaded, so y is greater than or equal to the line.