Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
2. Direct Variation
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Exercise 45 Page 306

What is the form of a direct variation equation?

-6

Practice makes perfect
Functions where y varies directly with x — direct variation equations — follow a specific format. y= mx In this form, m≠ 0. We can substitute the x- and y-values from the known point, ( 32, -9), into this equation to determine the constant of variation, m.
y=mx
-9=m* 3/2
-9 = 3m/2
-18 = 3m
-6 = m
m=-6
Now that we have the constant of variation, we can write the function. y= - 6x With this equation, we can find any value of x or y when we are given the other. In this case, we are looking for y when x=1.
y=-6x
y=-6 * 1
y=-6
The missing value is y=-6.