McGraw Hill Integrated I, 2012
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McGraw Hill Integrated I, 2012 View details
4. Direct Variation
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Exercise 1 Page 185

How does the constant of variation relate to the rate of change?

Constant of Variation:
Slope:

Practice makes perfect

Let's look at the given equation to first identify the constant of variation. Then we can look at the marked points to calculate the slope.

Constant of Variation

To find the constant of variation of an equation, we need to remember that it is the rate of change of a direct variation. The general form of a direct variation equation sets the dependent variable equal to the rate of change multiplied by the independent variable
Let's look at the given equation to identify this value.
The constant of variation is

Slope of the Line

To find the slope, we will substitute the points shown in the graph into the Slope Formula.
In this case, the given points are and Note that when calculating slope, it does not matter which point you choose to use as or
The slope of the line that passes through the points is also