Question

POSSIBLE POINTS: 3.13


Which equation matches this table?
Responses

y = 2x
y = 2x

y = -1/2 x
y = -1/2 x

y = 1/2 x
y = 1/2 x

y = -2x + 1
y = -2x + 1

y = x + 2
y = x + 2

y = 1/2 x + 2

Answer 1

To identify which equation matches the table you've mentioned, we'd typically need to see the values in the table. However, since you haven't provided the table, I can guide you on how to determine which equation fits.

1. **Check Points**: For each equation, substitute in values of \(x\) and see if the corresponding \(y\) values match those in the table.

2. **Graph Inspection**: If you can graph the equations and see which line goes through the points listed in the table.

3. **Slope and Intercept**: Identify the slope and y-intercept of each equation. If the table suggests a positive or negative linear relationship, that may help you eliminate options.

Here’s a brief overview of the equations based on their slopes:

- **y = 2x**: Slope of 2, passes through the origin.

- **y = -1/2 x**: Slope of -1/2, decreasing line.

- **y = 1/2 x**: Slope of 1/2, increasing line.

- **y = -2x + 1**: Slope of -2, decreasing line with a y-intercept at 1.

- **y = x + 2**: Slope of 1, increasing line with a y-intercept at 2.

- **y = 1/2 x + 2**: Slope of 1/2, increasing line with a y-intercept at 2.

If you can provide the specific points from the table, I can help you determine which equation is likely the one that matches.