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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 indicates the direction of a relationship in a linear function?
The slope of the line. A positive slope shows that the two variables increase or decrease together. A negative slope indicates they move in opposite directions. A slope of 0 indicates that the "dependent" variable has the same, constant, value whatever value the independent variable takes.
What distinguishes a linear function from other functions?
A linear function is one in which the power of the function is only one. So, the graph of it would be a straight line. For example, x2 + x = y is not linear, because the highest power is 2. A main difference is, non linear functions have curves, where as a linear function is a straight line, with the exception of when the function has a power of 0, and it is technically a straight line.
How does the function relate to the slope and y-intercept?
m=dy/dx at (0,b)
How do you write an equation in General Linear form when given in slope intercept form?
The slope intercept form of the equation of a line is: y = mx + b The general form is: Ax + By + C = 0 So, when the line is given in the slope intercept form, the general form will be mx - y + b = 0
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.
If second derivative is 0 and third derivative is 0 What is true about that point?
If the second derivative of a function is zero, then the function has a constant slope, and that function is linear. Therefore, any point that belongs to that function lies on a line.
Is y equals -5x linear?
Yes it is linear, it is a horazontal line, or 0 slope
What is the linear equation of the 2500 slope intercept form?
y = 2500. With slope = 0, intercept = 2500
What is the slope of the line represented by each function what is the y-intercept for each function?
In the slope-intercept form you use the slope of the line and the y-intercept to the origin has a y-intersect of zero, b = 0, and represents a direct variation. All functions that can be written on the form f(x) = mx + b belong to the family of linear function.
Is y equals 5 a linear equation?
Yes, the equation has a slope of 0.
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.
What indicates the direction of a relationship in a linear function?
The slope of the line. A positive slope shows that the two variables increase or decrease together. A negative slope indicates they move in opposite directions. A slope of 0 indicates that the "dependent" variable has the same, constant, value whatever value the independent variable takes.
Is 3y plus 2 equals 0 a linear function?
It is not a linear function because it is missing x as the input variable
A linear function passes through the point -2 -9 and 0 3 what Is slope of the function?
The idea is to divide delta-y by delta-x. In other words, divide the difference in the y-coordinates, by the difference in the x-coordinates.
Is the x intercept the same as the slope?
No. In a linear equation, y = mx + b, the slope is m, and the x intercept is where mx + b = 0.
What is the slope of a line passing through the points 5 0 and 8 0?
To calculate the slope of a linear function y = kx+m, this formula is used:k = (y₂-y₁)/(x₂-x₁)(0-0)/(8-5)where x₂ ≠x₁k = 0and0 = 0*5+mm = 0This means that the line is parallel to the x-axis, and is in fact on the x-axis
