Alinear equation exists for the following sets of ordered pairs: {(-1, 1), (0, 3), (-1/3, 7/3)}. the rule for the linear equation states that y is three more than twice x. set up a linear equation that satisfies the rule, and use the set of ordered pairs to prove that your equation satisfies the set of coordinates.

The rule of the linear equation which is 'y is three more than twice x' can be translated into y = 2x + 3. Thus, we simply use the points and subtitute it to the y and x variables. 

1st point: (-1, 1)
1 = 2(-1) + 3
1 = -2 + 3
1=1 

2nd point: (0, 3)
3 = 2(0) + 3 
3 =3

3rd point: (-1/3, 7/3)
7/3 = 2(-1/3) + 3
7/3 = -2/3 + 3
 7/3 = 7/3

All points prove the equation satifsfies the set of coordinates.

From the statement:
y is three more than twice x

We can generate the equation:
y = 3 + 2x

or
y = 2x + 3

Testing the equation with the given ordered pairs:
For (-1,1)
1 = 2(-1) + 3
1 = 1 (correct!)

For (0,3)
3 = 2(0) + 3
3 = 3 (correct!)

For (-1/3, 7/3)
7/3 = 2(-1/3) + 3
7/3 = 7/3 (correct)