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1. A relation of a (direct) proportion is written in the form y=kx Where k is called the constant of proportionality.
The graph of a (direct) proportion is a straight line passing through the origin.
If k>0, y increases k units for every 1 unit x increases. ... (Figure 1)
2. A relation of an inverse proportion is written in the formIf k<0, y decreases k units for every 1 unit x increases. ... (Figure 2) If y increases (decrease) n units for every m units x increases, y increases (decrease) units for every 1 unit x increases. ... (Figure 3)
y=
Where k is also called the constant of proportionality.
A graph of an inverse proportionality has two branches called a hyperbola.
If k>0, one branch of a hyperbola is located in quadrant I and the other branch is located in quadrant III.
... (Figure 4) If k<0, one branch of a hyperbola is located in quadrant II and the other branch is located in quadrant IV. ... (Figure 5) |
  Figure 1Figure 2  Figure 3   Figure 4Figure 5 |
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QuestionFind the equation for the following table. (Select the correct answer from the right column.) |
Equations |