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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
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
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 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 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.
Is a linear relationship always a direct variation?
No.
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.
What do all direct variation graphs have in common?
All direct variation graphs are linear and they all go through the origin.
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
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
Why isn't every linear relationship a direct variation?
The line doesn't go through the origin
How do you know that a direct variation is linear?
If the functional relationship is of the form y = cx where c is the constant of variation. In graphical form, it is a straight line through the origin.
