2. Direct Variation
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x | y |
---|---|
-1 | -1 |
0 | 0 |
1 | 1 |
2 | 2 |
If we plot these points on the coordinate plane and connect them, we will have the graph of y=x.
We can apply the same process to the other direct variation equations, y=2x, y=3x, and y=4x.
Equation | Constant of Variation |
---|---|
y=( 1)x | 1 |
y= 2x | 2 |
y= 3x | 3 |
y= 4x | 4 |
With this information we will examine the graph in Part A. We can see from the graph that as the constant of variation increases the slopes of the graphs become more steep.
As we can see, the graph of the function is increasing at a much slower rate than the other functions.