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.
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.
The graph must be linear and pass thru the origin
It represents a direct proportion and whose graph is a straight line through the origin.
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
It is a straight line passing through the origin.
It is a straight line passing through the origin.
Graphs of direct variation pass through the origin so the y-intercept would be 0.
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.
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.
The graph must be linear and pass thru the origin
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.
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.
If it is a straight line through the origin then it represents a direct proportion.
The slope of the graph of a direct variation is always positive.
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.