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A linear function is one defined as only having variables of the first degree. Since both the y and the x are to the first power (not y² or x² or x3) then yes, this is linear. The reason for this is that all first degree equations will graph straight lines, not curves. ■
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Does equation y 2 plus 1 represent a linear function?
Without an equality sign it is not an equation.
Does this equation describe a linear function 2y plus 4x equals 6?
Yes.
What is the linear equation of x equals -4 and y equals -1 over 3?
A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.
What is the relationship modeled by the equation y equals 8x plus 17?
A linear relationship. Added: And a function.
Are all linear equations functions why or why not?
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
Is the equation f equals ma linear?
It is linear function in f and a or in f and m, but not in m and a.
Is the linear equation X equals -14 a function?
No, this is not a function. The graph would have a vertical line at x=-14. Since there are more than one y value for every given x value, the equation does not represent a function. The slope of the equation also does not exist.
Does equation y 2 plus 1 represent a linear function?
Without an equality sign it is not an equation.
Is a linear equation the same as a function?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
Does this equation describe a linear function 2y plus 4x equals 6?
Yes.
Does the rule y equals 4x4x represent a linear or exponential function explain?
yes
What is the linear equation of x equals -4 and y equals -1 over 3?
A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.
Is linear function the same as linear equations?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
Do a linear equation and a function share the same definition?
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.
What is the relationship modeled by the equation y equals 8x plus 17?
A linear relationship. Added: And a function.
What is necessary and sufficient condition in respect to mathematics and economics?
what a sufficent condition that shows a equation does not represent a linear function
Are all linear equations functions why or why not?
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
