When you have an inequality the correct form to write it in a standrad form is:
You have a dotted line it means that the result of the inequality doesn't include the value in the line just the values that are less than: (As you have the part below the line shaded)
[tex]yKnowin that we can know use the graph and determine the value of the slope (m) and b:
We can find the m and the b by using the dotted line as a lineal function:
For the slope we use two points
X1= -3 Y1= 0
X2=0 Y2=-2
Then the slope willn be:
[tex]m=\frac{(y_2-y_1)}{(x_2-x_1)}=\frac{(-2-0)}{(0-(-3))}=\frac{-2}{3}==-\frac{2}{3}[/tex]
Then so, the slope m= 12/3
The b is the point that takes y when x=0, we can see it is b=-2
Then the final standard form of this inequality is:[tex]y<-\frac{2}{3}x-2[/tex]
