Show a graph with the proportional relationship y=2x by plotting points.
To graph the proportional relationship y = 2x, we need to plot points that satisfy this equation. We can choose any values for x and calculate the corresponding y values using the equation. Let's choose the following values for x:
x = -3, -2, -1, 0, 1, 2, and 3
Now, we can calculate the corresponding y values by substituting the chosen x values into the equation y = 2x:
For x = -3: y = 2(-3) = -6
For x = -2: y = 2(-2) = -4
For x = -1: y = 2(-1) = -2
For x = 0: y = 2(0) = 0
For x = 1: y = 2(1) = 2
For x = 2: y = 2(2) = 4
For x = 3: y = 2(3) = 6
Now we have the following set of points:
(-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6)
We can now plot these points on a graph and connect them to observe the proportional relationship:
```
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-3 -2 -1 0 1 2 3
```
The points lie on a straight line that passes through the origin (0,0) and has a constant slope of 2, showing the proportional relationship y = 2x.