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

Answer 1

Slope = (-0.3 - (-1.3))/3 = 1/3. Using (0, -1.3) gives the line y = (1/3)x - 1.3. The region is below the solid line, so the inequality is

y ≤ (1/3)x - 1.3.

(The second option uses -4/3 = -1.333..., not -1.3.)