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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.
