Question

Make a table of ordered pairs for the equation.

y=−1/3x+1

Answer 1

y=−1/3x+1

x = -6, y = −1/3(-6) +1 = 3
x = -3, y = −1/3(-3) +1 = 2
x = 0, y = 1
x = 3, y = −1/3(3) +1 = 0
x = 6, y = −1/3(6) +1 = -1

Table
x y
-6 3
-3 2
0 1
3 0
6 -1

Answer 2

The answer is the next table:

x y

0 1

3 0

6 -1

9 -2

Explanation:

In order to determine the table with ordered pairs, we have to know about replacing values.

In a linear function, there are two variables, the dependent variable (y) and the independent variable (x). If we replace any value in the "x" variable, we get the "y" value. The process is called "replacing value".

To get the table, we choose some value to replace in the "x" variable:

`x=0\\y=-(1)/(3)(0)+1=1\\`

`x=3\\y=-(1)/(3)(3)+1=-1+1=0`

`x=6\\y=-(1)/(3)(6)+1=-2+1=-1`

`x=9\\y=-(1)/(3)(9)+1=-3+1=-2`

The table with some ordered pairs is:

x y

0 1

3 0

6 -1

9 -2

I have attached an image that shows a graph with the ordered pairs.