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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.
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.
What is the characteristics of a rate?
It represents a direct proportion and whose graph is a straight line through the origin.
What does the graph of an inverse variation look like?
A hyperbola.
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.
Is every relationship whose graph passes through the origin direct variation?
No, not every relationship whose graph passes through the origin represents direct variation. Direct variation specifically means that the relationship can be expressed in the form ( y = kx ), where ( k ) is a non-zero constant. While a graph passing through the origin indicates a proportional relationship, it can also represent other types of relationships, such as quadratic or polynomial functions, if they contain additional terms. Therefore, the key characteristic of direct variation is the constant ratio between ( y ) and ( x ), not just the point of intersection at the origin.
What are two properties of a direct variation graph?
Positive or Negative........I think...
What the three ways to represent a direct variation?
equation, table or a graph
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 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.
How do you know if an equation is direct variation?
There are three ways: a table, a graph, and an equation.
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.
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.
