Complete the table for the function y=6x.

Question

x y
–1
0
1
2
Now, graph the function.
Plot two points to graph the function.

Answer 1

To complete the table for the function \( y = 6x \), we can calculate the value of \( y \) for different values of \( x \).

Here’s the completed table:

| \( x \) | \( y = 6x \) | |---------|--------------| | -1 | \( 6 \times -1 = -6 \) | | 0 | \( 6 \times 0 = 0 \) | | 1 | \( 6 \times 1 = 6 \) | | 2 | \( 6 \times 2 = 12 \) |

So, the completed table looks like this:

| \( x \) | \( y \) | |---------|---------| | -1 | -6 | | 0 | 0 | | 1 | 6 | | 2 | 12 |

Next, let's plot two points to graph the function. We will use the points \( (0, 0) \) and \( (1, 6) \) for the graph.

Graph of the Function \( y = 6x \)

1. Plot the Point (0, 0): This is the origin.
2. Plot the Point (1, 6): Move 1 unit to the right on the x-axis and 6 units up on the y-axis.

Connect these points with a straight line since the function \( y = 6x \) is linear. The slope of the line is positive, indicating that as \( x \) increases, \( y \) also increases.

Summary of Points to Plot:

• Point 1: \( (0, 0) \)
• Point 2: \( (1, 6) \)

Note: If you are looking to visualize this graph, you would draw a coordinate system, mark the two points, and draw a line through them extending in both directions to represent the function \( y = 6x \).