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What else can I help you with?
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
When is a linear function considered to be a direct variation?
Direct variation means that a linear function can be written as y = kx. The y-intercept must be (0, 0). The constant, k, is the slope.
What makes a decreasing linear relationship a direct variation?
if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing
The value 11.7 represents the of the graph of the following linear regression equation?
slope
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 every linear equasion represent a direct variation relationship?
I have recently been doing all these direct variation problems but not every linear relationship is a direct variation... But every direct variation is a linear relation!
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
Are all direct variations linear functions?
Yes, all direct variations are linear functions. Direct variation describes a relationship where one variable is a constant multiple of another, typically expressed in the form (y = kx), where (k) is a non-zero constant. This equation represents a straight line through the origin on a graph, confirming that direct variations are indeed linear functions.
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.
Is every linear relationship a direct variation?
no.
Is a linear relationship always a direct variation?
No.
Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
Is a linear function a direct variation?
yes * * * * * No, it is not. In a direct variation, if one of the variables is 0, the other MUST also be 0. In a linear function, they will be the intercepts.
Is the equation Y MX B a constant of variation?
No, it is a linear equation which does not pass through the origin unless B = 0. If B = 0 then Y and X could be said to vary in direct proportion and M would be the constant of variation, not the whole equation.
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
When is a linear equation an identity?
When the equation represents a horizontal line.
