We are given the linear function y = 8x. To complete the table, plug each x into the formula y = 8x.
| x | y = 8x |
|---|---|
| -1 | -8 |
| 0 | 0 |
| 1 | 8 |
| 2 | 16 |
So the completed table (as ordered pairs) is: (-1, -8), (0, 0), (1, 8), (2, 16).
Now graph the function. Because this is a straight line (slope = 8, y-intercept = 0), you only need two points to draw it. Good choices are:
- Point A: (0, 0) — the origin (plug x = 0).
- Point B: (1, 8) — plug x = 1 to get y = 8.
How to plot and draw the line:
- On graph paper or a coordinate plane, find the point (0,0) and mark it.
- Find the point (1,8): move right 1 unit (x = 1) and up 8 units (y = 8); mark it.
- Use a ruler to draw a straight line through these two points and extend it across the grid. That line is the graph of y = 8x.
Notes: The slope is 8, meaning for every 1 unit you move right, the line rises 8 units. You could also use (-1, -8) and (2, 16) as your two plotting points — they lie on the same line.