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Graph this function.

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

1 answer

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 \( y = \frac{1}{10}x \).