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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.
Can slope k of a direct variation be positive?
The slope of the graph of a direct variation is always positive.
Do the slope of direct variation changes as you move along the graph?
No.
What does k correspond to in a direct variation function?
k is the constant of variation and is the gradient (slope) of the relevant graph.
What are two properties of a direct variation graph?
Positive or Negative........I think...
How do you know if an equation is direct variation?
There are three ways: a table, a graph, and an equation.
What the three ways to represent a direct variation?
equation, table or a graph
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.
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.
Can slope k of a direct variation be positive?
The slope of the graph of a direct variation is always positive.
Does the graph of a direct variation pass through the origin?
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.
Do the slope of direct variation changes as you move along the graph?
No.
What does k correspond to in a direct variation function?
k is the constant of variation and is the gradient (slope) of the relevant graph.
What are two properties of a direct variation graph?
Positive or Negative........I think...
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
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.
