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Does every linear equasion represent a direct variation relationship?
I have recently been doing all these direct variation problems but not every linear relationship is a direct variation... But every direct variation is a linear relation!
Why isn't every linear relationship a direct variation?
The line doesn't go through the origin
How do you construct a graph that shows a relationship?
Almost every graph shows some relationship. The relationship may besimple or complicated,linear, quadratic or more complicated,one-to-one or one-to-many,exact or approximate.
Does a constant of proportionality exist?
Yes, it does. Every time there are variables in direct or inverse relationship, there is a constant of proportionality.
How does a direct variation look?
Two variables, x and y are said to be in direct variation with one another if they are related by an equation of the form y = cx where c (>0) is the constant of [direct] variation. In the coordinate plane, this equation gives rise to a straight line, through the origin, and with a gradient (slope) = c. What this means that both x and y are 0 together, and that every increase (or decrease) in x results in an increase (decrease) of c times that amount in y.
