Question

Which linear inequality is represented by the graph

Answer 1

Answer:

$y\leq \frac{1}{2} x+2$

Step-by-step explanation:

Firstly, as seen in the graph, the shaded area is below the graph. This means that $y \leq$

Next we can look at the slope. It is seen that m=$\frac{1}{2}$

From these two observations, the only inequality that fits the critera is

$y\leq \frac{1}{2} x+2$

Answer 2

Answer:

Option A

Step-by-step explanation:

(1) In the given graph a solid line has been given which represent the sign of inequality between two variables.

(2) Moreover this, a should area has been given below the solid line. which represents the sign of "less than" between the variables.

In total between y and x there should be a sign of (≤)

(3) Now this line passes through two points (0,2) and (-4,0) so slope of the line will be = $\frac{y-y'}{x-x'}$

Therefore, slope =$\frac{2-0}{0+4}=\frac{1}{2}$

y-intercept of the line has been given as 2

So inequality for this graph will be

y ≤ $\frac{1}{2}$x + 2

Option A is the answer.