Question

Which linear inequality is represented by the graph?

Answer 1

Answer: D

Step-by-step explanation:

Firstly. we can eliminate options A and B because the shaded region is below the line.

Next, we are given the point: (0,-1.3) this means -1.3 will appear in the

inequality, giving us the answer D

Answer 2

y ≤ 1/3 x - 1.3.

Explanation:

First find the equation of the line:

The slope = (-0.3 - (-1.3) / (3 - 0).

= 1/3 so the equation is y = 1/3x + b where b is a constant.

b is the y-intercept which is the value of y when x = 0 . We see that it is -1.3 ( from the point 0, -1.3).

Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to', ≤.