The equation 15x + 5y = 0 is a direct variation and the constant of variation is -3 while the equation -5x + 8y = 3 is neither a direct variation nor an inverse variation
<h3>How to categorize the type of each equation?</h3>
As a general rule, we have the following forms of equation:
Direct variation: y =kx
Inverse variation: y = k/x
Where k represents the constant of variation
The equations 15x + 5y = 0 can be rewritten as:
5y = -15x
Divide by 5
y = -3x
The above equation take the form y = kx
This means that k = -3
Hence, the equation 15x + 5y = 0 is a direct variation and the constant of variation is -3
However, the equation -5x + 8y = 3 do not take any of the given forms
Hence, the equation -5x + 8y = 3 is neither a direct variation nor an inverse variation
Read more about variation at:
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