Represent the relationship using words, an equation, and a graph. Add image of your graph from Desmos in the next questions dropbox.
x y
0 0
1 4
2 8
3 12
**Relationship in Words:**
The relationship between x and y is linear. As x increases by 1, y increases by 4. This indicates that y is 4 times x, plus some constant. Since the relationship passes through the origin (0, 0), the constant is 0.
**Equation:**
The equation of this linear relationship can be written as:
y = 4x
**Graph:**
To plot this graph manually, you can follow these steps:
1. Draw a coordinate plane with an x-axis and a y-axis.
2. Mark the points (0, 0), (1, 4), (2, 8), and (3, 12) on the graph.
3. Connect these points with a straight line.
However, since I cannot create images, you can easily create the graph on Desmos yourself by:
1. Go to the Desmos graphing calculator website (www.desmos.com/calculator).
2. Click on the "+" button to add a new expression.
3. In the expression field, type "y = 4x" (without quotes) and press Enter.
Desmos will automatically plot the graph for you. You can add the specific points by clicking on the graph area and typing in their coordinates, or by adding a table in Desmos and inputting the given points.
For an image of the graph, you will need to plot it on Desmos yourself and then take a screenshot of the Desmos graph. Unfortunately, I am unable to directly provide images or access the Desmos graphing tool.