Direct variation
from class: College Algebra Definition Direct variation describes a linear relationship between two variables where one variable is a constant multiple of the other. Mathematically, it is expressed as $y = kx$, where $k$ is the constant of variation.
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Predict what's on your test 5 Must Know Facts For Your Next Test In direct variation, as one variable increases, the other variable increases proportionally. The graph of a direct variation equation is a straight line passing through the origin (0,0). The constant of variation $k$ represents the slope of the line in a direct variation equation. If $y$ varies directly with $x$, then $\frac{y}{x} = k$ for all pairs $(x, y)$. In problems involving direct variation, solving for $k$ can help find unknown values given one pair of variables. Review Questions What is the general form of a direct variation equation? How does changing the value of $k$ affect the graph of a direct variation? If $y$ varies directly with $x$, and you know that when $x = 3$, $y = 9$, what is the constant of variation? "Direct variation" also found in:
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