Question

Graph the proportional relationship y=x
by plotting points.(1 point)
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Answer 1

To graph the proportional relationship \( y = x \), we can plot a number of points that satisfy this equation. Since \( y \) is equal to \( x \), the coordinates of the points will be of the form \((x, y)\) where \( y \) is the same as \( x \).

Here are some points to plot:

1. If \( x = 0 \), then \( y = 0 \): Point (0, 0)
2. If \( x = 1 \), then \( y = 1 \): Point (1, 1)
3. If \( x = 2 \), then \( y = 2 \): Point (2, 2)
4. If \( x = 3 \), then \( y = 3 \): Point (3, 3)
5. If \( x = -1 \), then \( y = -1 \): Point (-1, -1)
6. If \( x = -2 \), then \( y = -2 \): Point (-2, -2)

Now, to plot these points on the graph:

1. (0, 0)
2. (1, 1)
3. (2, 2)
4. (3, 3)
5. (-1, -1)
6. (-2, -2)

Next, connect the plotted points with a straight line, as they lie on a straight line through the origin (0, 0). This line should extend infinitely in both directions.

The graph should look like this:

```
|
| * (3, 3)
| * (2, 2)
| * (1, 1)
| * (0, 0)
| * (-1, -1)
|* (-2, -2)
|____________________
```

The line represents the equation \( y = x \), which is a diagonal line passing through the origin (0,0) at a 45-degree angle.