Graph 2x + y > 6Test point :

We have to graph the inequality:

We have to write the line that represent the boundary between the solution region and the other region.

We can write the equation of this line as:

This line has the y-intercept at (0,6).

We can find another point of this line by giving a value to x, for example x = 3:

Then, the point (3, 0) also belongs to this line.

We can graph the line that limit this two regions as:

Now, if we look at the inequality, this line does not belong to the solution region as we have a ">" sign.

We can find which of the two regions is the solution region by testing one point.

For example, we can test for (0,0):

Then, (0,0) is outside of the solution region. Then, the solution region is above the line y = -2x + 6:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic