Question

Type the following inequality in the box below in standard form, do not use spaces.sion20+1091FRIENSAErrorK10

Answer 1

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)

`yKnowin that we can know use the graph and determine the value of the slope (m) and b:<p>We can find the m and the b by using the dotted line as a lineal function:</p><p></p><p>For the slope we use two points </p><p></p><p>X1= -3 Y1= 0</p><p>X2=0 Y2=-2</p><p></p><p>Then the slope willn be:</p>[tex]m=((y_2-y_1))/((x_2-x_1))=((-2-0))/((0-(-3)))=(-2)/(3)==-(2)/(3)`

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:
`y<-(2)/(3)x-2`