Question

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4). Everything to the right of the line is shaded.
Which linear inequality is represented by the graph?

y ≥ One-thirdx – 4
y ≤ One-thirdx – 4
y ≤ One-thirdx + 4
y ≥ One-thirdx + 4

Answer 1

Slope = (−4 − (−5))/(0 − (−3)) = 1/3. Line: y = (1/3)x − 4. "Right of the line" means for a given y the x-values are larger than on the line, which rearranges to y ≤ (1/3)x − 4 (solid line so ≤).

Answer: y ≤ One-thirdx – 4.