Question

Graph this function.
y=(1/10)x
Plot two points to graph the function.

Answer 1

To graph the function \( y = \frac{1}{10}x \), we can choose two points by selecting values for \( x \) and calculating the corresponding \( y \) values.

### Step 1: Choose values for \( x \)

Let's select:
1. \( x = 0 \)
2. \( x = 10 \)

### Step 2: Calculate corresponding \( y \) values

1. **For \( x = 0 \)**:
\[
y = \frac{1}{10}(0) = 0
\]
So, the point is \( (0, 0) \).

2. **For \( x = 10 \)**:
\[
y = \frac{1}{10}(10) = 1
\]
So, the point is \( (10, 1) \).

### Step 3: Plot the points

- The first point is \( (0, 0) \).
- The second point is \( (10, 1) \).

### Step 4: Draw the graph

- Draw a straight line through the points \( (0, 0) \) and \( (10, 1) \).
- Since \( y = \frac{1}{10}x \) is a linear function, the graph will be a straight line that passes through the origin, rising gently with a slope of \( \frac{1}{10} \).

This line will continue infinitely in both directions, approaching the axes as \( x \) and \( y \) move away from the origin.

### Representation:

```
y-axis
|
1| *
|
|
0|--------------
0 10 x-axis
```

This is a basic sketch of the graph for the function \( y = \frac{1}{10}x \).