The ordered pairs that are created are points on the graph of the equation. The x-values of these ordered pairs are the values of the independent variable and y-values are the values of the dependent variable.
( x, y)
( independent, dependent)
By plotting the points in a coordinate plane and drawing a line through them, we can draw the graph of the equation. Take a look at an example.
y=2x+1
In this equation, x is the independent variable and y is the dependent variable. Now we will make a table to represent some ordered pairs that satisfy this equation.
Independent Variable, x
Dependent Variable, y
Ordered Pair, (x,y)
1
3
(1,3)
2
5
(2,5)
3
7
(3,7)
Next, we will plot the points and draw a line through them.
Notice that, by drawing a line through the points, we are actually drawing all of the possible solutions of the equation. Therefore, we drew the graph of the equation in two variables.
