Question

Which linear inequality is represented by the graph?

y > 2x + 3
Oy< 2x + 3
Oy> -2x + 3
Oy< -2x + 3

Answer 1

From the question, we have the following set of points(with the format (x,y)):

`\lbrace(-3,10.5),(-0.5,3),(2,-4.5),(4.5,-12),(7,-19.5)\rbrace`

Linear equations have the following format:

`y=mx+b`

If you substitute two points from our set in this equation, you can find the coefficients and determinate the linear function that passes through those points.

Let's take the first two points for example:

`\begin{cases}10.5=-3m+b \\ 3=-0.5m+b\end{cases}`

Solving this system, will give you the following coefficients:

`\begin{cases}m=-3 \\ b=1.5\end{cases}`

Then, our line equation is:

`y=-3x+1.5`