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Why does the graph of an equation expressing direct variation always pass through the origin?
For a direct variation, y=kx where k is the constant of variation if x =0 then y=0 and the graph of y=kx passes through the origin. -Indiana Prentice Hall Algebra 2 Text Book.
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.
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 characteristics of a rate?
It represents a direct proportion and whose graph is a straight line through the origin.
What relationship exist between two variables when their ratio is constant?
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
