5. The Coordinate Plane
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Make a function table to find some ordered pairs.
To graph the function y= 25x+2, 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 | 2/5x+2 | y | (x,y) |
|---|---|---|---|
| - 5 | 2/5( - 5)+2 | 0 | ( - 5, 0) |
| -3 | 2/5( -3)+2 | 4/5 | ( -3, 4/5) |
| -1 | 2/5( -1)+2 | 1 35 | ( -1, 1 35) |
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= 25x+2.