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How do you know if the equation is a direct variation?
When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation
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.
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.
Is a linear relationship always a direct variation?
No.
Do equation always sometimes or never has one solution?
an equation ---------- has a soultion? a)always B)sometimes C)never
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.
Is it always sometimes or never true that an equation in slope intercept form represents a direct variation?
An equation in slope-intercept form (y = mx + b) represents a direct variation only when the y-intercept (b) is zero, making it (y = mx). If (b) is non-zero, the equation does not represent a direct variation, which is defined as a linear relationship that passes through the origin. Therefore, it is "sometimes" true that an equation in slope-intercept form represents a direct variation, depending on the value of (b).
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 do you know if the equation is a direct variation?
When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation
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.
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 do you know about every direct variation equation?
If the two variables are X and Y then the equation is always of the form Y = cX where c is a non-zero constant.
A subtraction problem can always be written as what type of problem?
A subtraction problem can always be written as an addition problem by using the concept of "adding the opposite." For example, the subtraction equation (a - b) can be transformed into the addition equation (a + (-b)). This representation helps to maintain the same numerical relationship while expressing it in a different mathematical form.
Why is Communication considered continuous?
A majority of our communication is nonverbal. Through actions, tics, silence, and even a lack of action we are always expressing ourselves.
Is the direct variation of two variables always a linear function?
YES...A direct variation is a linear relationship in which y-intercept is always 0.
Can slope k of a direct variation be positive?
The slope of the graph of a direct variation is always positive.
What is it called when an equation is always true?
In math, an equation that is always true is called an identity.
