Algebra — Complete the table and graph the linear function y = 8x (x = -1, 0, 1, 2)

We have the function y = 8x. Compute y for each x:

• x = -1: y = 8(−1) = −8
• x = 0: y = 8(0) = 0
• x = 1: y = 8(1) = 8
• x = 2: y = 8(2) = 16

To graph the function, plot any two distinct points from the table and draw a straight line through them. Two easy choices are:

• (0, 0) — the y-intercept
• (1, 8) — one step right and eight up from the origin

Steps to draw the graph:

1. On your coordinate plane, mark (0,0).
2. From (0,0) move right 1 unit and up 8 units to mark (1,8).
3. Draw a straight line through these two points and extend it across the grid. That line is the graph of y = 8x. (You can check by confirming other table points like (−1, −8) or (2, 16) lie on the same line.)

Note: The slope of the line is 8 and the y-intercept is 0.