5. The Coordinate Plane
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Make a function table to find some ordered pairs.
To graph the function y=8x, we will follow two steps.
Let's do these things one at a time. To make a function table, we will select some values of x which will be part of our domain. Then we will substitute these values into the function for x to find the corresponding values of y. These x- and y-values will create a set of ordered pairs.
| x | 8x | y | (x,y) |
|---|---|---|---|
| - 1 | 8( - 1) | - 8 | ( - 1, - 8) |
| 0 | 8( 0) | 0 | ( 0, 0) |
| 1 | 8( 1) | 8 | ( 1, 8) |
We found three ordered pairs that lie on the graph of our function. Now we will graph the ordered pairs and connect them with a straight line.
The line is the complete graph of the function. The ordered pairs corresponding to any points on the line are solutions of the equation y=8x.