Draw the graph of y = 3x – 2 for –3 ≤ x ≤ 3

In this case, we have a linear equation:

y = 3*x - 2

And we want to graph this in the interval  –3 ≤ x ≤ 3

Because this is a linear equation, to graph it we can just evaluate the equation in both extremes of the interval to find the two extremes of the graph.

Then we just need to connect these points with a segment, and that will be the graph of our equation.

Because the symbols used are: ≤

We need to graph the extremes with a black dot, which means that the point is included in the graph (would be different if we had -3 < x < 3)

The first extreme is when we have x = -3

y = 3*(-3) - 2 = -9 - 2 = -11

Then we have one extreme at (-3, -11)

The other is when x = 3

y = 3*3 - 2 = 9 - 2 = 7

Then the other extreme is at (3, 7)

Now we just need to draw these two points and connect them, an example of this can be seen in the image below:

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