Question

Use this equation to draw a graph y>-5/3x-4

Answer 1

Given:

`y>-(5)/(3)x-4`

To draw the given inequality, we need to draw the line:

`y=-(5)/(3)x-4`

To draw the line, we need two points

Substitute with x = 0 and 3 and find the corresponding value of y

So,

`\begin{gathered} x=0\rightarrow y=-(5)/(3)\cdot0-4=-4 \\ x=3\rightarrow y=-(5)/(3)\cdot3-4=-5-4=-9 \end{gathered}`

so, the line passes through the points (0, -4) and (3, -9)

We will check which side of the line is the solution using the point (0,0)

So,

`\begin{gathered} -(5)/(3)\cdot0-4=-4<0 \\ 0>-4 \end{gathered}`

So, the area contains the point (0, 0) is the area of the solution

The graph will be as shown in the following picture: