Question

Which linear inequality is represented by the graph?

Answer 1

Answer:

Option C.$y\leq \frac{2}{3}x+\frac{1}{5}$

Step-by-step explanation:

The given inequality represents a linear function on graph.

Since shaded part on the graph is below the line and the line is a solid line, the inequality will be represented by "y ≤ less than equal to"

As the line passes through two points (3, 2.2) and (0, 0.2)

Therefore slope of the line will be = $\frac{2.2-0.2}{3-0}=\frac{2}{3}$

Now equation of the line passing through (0, 0.2) and slope of 2/3 will be

$y=\frac{2}{3}x+0.2=\frac{2}{3}x+\frac{1}{5}$

Now the inequality represented in the graph is $y\leq \frac{2}{3}x+\frac{1}{5}$

Option C. is the answer.

Answer 2

The correct answer to this question is C. y ≤ $\frac{2}{3}$ + $\frac{1}{5}$  hope this helps