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yes, a graph of a direct variation must pass through the origin because direct variation is always in form of y=mx where x and y are variables and m is a constant.
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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.
Does the graph of an inverse variation pass through the origin?
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
How can you tell if a line is the graph of a direct variation?
It is a straight line passing through the origin.
How can you tell of a line is the graph of direct variation?
It is a straight line passing through the origin.
What is the y-intercept of the graph of a direct variation equation?
Graphs of direct variation pass through the origin so the y-intercept would be 0.
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 does the math term direct variation mean?
Two variables, X and Y, are in direct variation if Y = kX for some constant k. The graph of Y as a function of X will be a straight line through the origin.
Does y equal 1X show direct variation?
Yes. y = 1x is the same as y = x which is the simplest case of direct variation. If you consider the equation y = mx + b, then a direct variation will always have b = 0 (i.e. the graph goes through the origin). The value of m is called the "constant of variation", and the equation is usually written as y = kx.
How can you determine if a graph forms a direct proportion?
If it is a straight line through the origin then it represents a direct proportion.
Can slope k of a direct variation be positive?
The slope of the graph of a direct variation is always positive.
How do you identify each graph is a direct variation or not?
If y varies directly as x, then the graph of y against x must be a straight line through the origin.However, if y varies directly as the square of x, for example, then the graph of y against the square of x will be the straight line through the origin - not y against x.
