Respuesta :

When making a table, be on the safe side and do 2 positive and 2 negative x values.
Choose an x value and substitute it into the equation. The value of y is the y-value.

(3, 0)
(0, 1)
(-3, 2)
(-6, 3)

Then, choose two points and draw a straight line through them, you have a graph.

Hope this helps!

We want to make a table of ordered pairs for the given equation, and then graph two of these points to graph the equation.

We have the equation:

y = (-1/3)*x + 1

We can make the table:

[tex]\left[\begin{array}{ccc}x&y\\-1&\\0&\\1&\\3&\end{array}\right][/tex]

To complete the table, we just need to evaluate the given equation in these x-values. We will get:

y(-1) = (-1/3)*(-1) + 1 = 1/3 + 1 = 4/3

y(0) = (-1/3)*0 + 1 = 1

y(1) = (-1/3)*1 + 1 = 2/3

y(3) = (-1/3)*3 + 1 = 0

Now we just complete the table with the values that we got:

[tex]\left[\begin{array}{ccc}x&y\\-1&4/3\\0&1\\1&2/3\\3&0\end{array}\right][/tex]

Now to graph the equation, we can graph two of these points, for simplicity I will graph (0, 1) and (3, 0).

Once the points are graphed, we just need to draw a line that connects them. The graph can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/20853486

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