We are given the linear function y = 10x. For each x, multiply x by 10 to get y.
| x | y = 10x |
|---|---|
| -1 | -10 |
| 0 | 0 |
| 1 | 10 |
| 2 | 20 |
Work shown: y = 10x so
- When x = -1, y = 10(−1) = −10
- When x = 0, y = 10(0) = 0
- When x = 1, y = 10(1) = 10
- When x = 2, y = 10(2) = 20
To graph the linear function, plot any two distinct points from the table and draw the straight line through them. Two easy points to use are (0, 0) and (1, 10). (You could also use (−1, −10) and (2, 20).)
Summary: Table values are −10, 0, 10, 20. Plot two points (for example (0,0) and (1,10)) and draw the straight line through them to graph y = 10x. The slope is 10, so for every 1 unit you move right, y increases by 10.