Does the equation 7x+4y=2 represent a direct variation and if so, identify the constant of variation?

1 Answer
SCooke
Jun 3, 2018

Yes. 'y' is directly varying with changes in 'x' (or vice versa ). The "Constant of Variation" is the slope: −74

Explanation:

Picking x as the independent variable, the equation can be rearranged to show the direct relationship to the y dependent variable.
7x+4y=2
4y=−7x+2
y=−74x+24

The "Constant of Variation" is the slope: −74

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