Question

Look at the table of values below.

x y
1 3
2 7
3 11

Which equation is represented by the table?

Answer 1

y = 4x - 1

4(1) - 1 = 3
4(2) - 1 = 7
4(3) - 1 = 11

Answer 2

`y=4x-1`

Explanation:

x y

1 3

2 7

3 11

The given table is a linear because the difference in y values is a constant

`7-3=4`

`11-7=4`

constant value is the slope that is m=4

Linear equation is in the form of
`y=mx+b`

we know slope m is 4

Now we find out b using the value of x and y given in the table

Plug in x=1, y=3 and m= 4

`y=mx+b`

`3=4(1)+b`

`3=4+b`, subtract 4 from both sides

`b=-1`

So the equation that represents the table is

`y=4x-1`