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: #-7/4#

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 = -7/4x + 2/4#

The "Constant of Variation" is the slope: #-7/4#

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