Question

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Everything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?

y ≤ One-thirdx – 1.3
y ≤ One-thirdx – Four-thirds
y ≥ One-thirdx – Four-thirds
y ≥ One-thirdx – 1.3

Answer 1

The line has slope (−0.3 − (−1.3))/3 = 1/3 and y-intercept −1.3, so y = (1/3)x − 1.3. The shaded side is below the line (solid), so the inequality is

y ≤ (1/3)x − 1.3.