Compare Graphs/Tables/Equations

-Graph: it must pass through the origin (0,0) and be a straight line

-Table: it must be a multiplicative relationship to get from x to y

-Equation: you cannot have an additive relationship....example: y = mx + b is NOT proportional; y = x -5 is NOT proportional; y = 2/3x IS proportional

​Do points sit on a line?

To figure out if points sit on a line, plug in the x values from each coordinate pair into the equation. You will get a y value. If the y value matches what is written in the coordinate pair, then yes, it will fall on the line.

For example, in y = 3x - 2, the coordinate pair (5, 13) is on the line, but (-2, 8) is NOT on the line.

​To figure out which table matches an equation...

Plug in the x values into the equation and see if the input/output table works.

If the equation is y = x + 5, this table would NOT work.

​To figure out which table matches a graph...

Test x and y values (they make coordinate pairs) on the graph

This table may have coordinate pairs of (0, 1),
(2, 2), (4, 3), and (-2, 0).

​To figure out what number is missing...

Figure out the equation that shows the relationship between x and y. Then, plug in x or y into the equation (whichever one you have to find what is missing).

​Connect tables, graphs, and equations

Use all of the skills you have learned to far to answer the next question!

Use coordinate pairs. Think of input/output tables as coordinate pairs. The x and y's correspond to each other if they are next to each other (in the same row).