Answer:
y = 2x + 1
Step-by-step explanation:
In the x column we have the numbers 2, 4, 6, 9, and 12, if you were to take any of those numbers and multiply them by 2 then add 1, you would get the corresponding number in the y column.
For example:
X column = 2, 4, 6, 9, 12
Y column = 5, 9, 15, 19, 25
Each pair is (x,y) so pair one would be (2,5), pair two would be (4,9) and so on
So to check that y = 2x + 1 is really the right equation, substitute x for a number in the x column, and y for a number in the y column.
(5) = 2(2) + 1
This is correct because it would be 5=5
As you can see 5 does equal 5.
If you were to try this with any of the other equations it would not work.
For example:
y = 3x - 1
If you were to substitute the x and y values it would not work.
(9) = 3(4) - 1
3 * 4 is 12
12 -1 is 11
9 = 11
As you can see 9 does not equal 11
