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How does the constant of variation affects the appearance of the graph of a direct variation function?
The formula direct variation is xk=y, where k is the constant of variation.Direct variation functions always pass through the origin. Direct variation functions are linear functions (goes in a straight line), except that they pass through the origin. Regular linear functions don't pass through the origin. That is the only difference.
Is a linear relationship always a direct variation?
No.
What is direct square variation in math?
direct square variation is a function that relates the same or equal constant ratio. It is a function that is typically used in different kinds of algebra.
How can you tell by examining a graph if a line represents a direct variation?
The graph must be linear and pass thru the origin
What is the constant of proportionality of the linear function?
The linear function has the form y=mx+b, which I expect you have heard of. The 'b' is the y-intercept, and the 'm' is the slope. A constant of proportionality is something you have with direct variation, which is where the line goes through (0,0). This happens when 'b' equals zero. So now the equation is just y=mx, and the constant of proportionality is 'm'.
