Question

Which linear inequality is represented by the graph?

Answer 1

The third one y is less than or equal too

Answer 2

Answer:

y ≤$\frac{2 }{ 3}$ + $\frac{1}{5}$ .

Step-by-step explanation:

Given : Graph .

To find : Which linear inequality is represented by the graph.

Solution : We have given graph with shaded down and solid line

It has solid line it mean inequality has equal to sign.

It is shaded down it mean inequality  y has less than or equal to sign.

Slope =  $\frac{y_{2}-y_{1} }{x_{2}- x_{1}}$.

Slope =   $\frac{2.2- 0.2 }{ 3- 0}$.

Slope =   $\frac{2 }{ 3}$.

Y intercept = 0.2 =   $\frac{2}{10}$.

y intercept =   $\frac{1}{5}$.

Equation of line y = mx + b

Where m  = slope , b = y intercept .

Plug the values of slope and y intercept .

y ≤ $\frac{2 }{ 3}$ + $\frac{1}{5}$ .

Therefore, y ≤$\frac{2 }{ 3}$ + $\frac{1}{5}$ .