y=mx+b
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It is a continuous function. If the line is a straight line, it is a linear function.
Any function of the form f(x) = ax + b, or any relation of the form Ax + By = C.This is the function that forms a line graphed. The slope of line can be taken out as C/A. * * * * * The above answer assumes that a line MUST be a straight line! Since the graph is a line, the domain must be an interval in the Real numbers. The interval may be finite, or infinite in one or both directions. In order that the graph does not have breaks in it the function must be continuous. Any such function will do.
Suppose y represents the numerator of the fraction and x represents the denominator.A = (x1, y1) and B = (x2, y2) are equivalent fractions if y1/x1 = y2/x2 = some constant m. Then all points representing equivalent fractions are on the straight line whose equation is y = mx.
The equation for a circle is a function in that it can be graphed and charted. One common equation is x^2 + y^2 = r^2.
They are the same line.