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Do all linear graphs have proportional relationship
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
A linear relationship means that the slope of the line is proportional, which means that the line is straight. In contrast to the linear realtionship, the non-linear relationship's slope is not proportional and the line will curved and not straight. Formula of calculating the slope is the difference of y divided by the difference of x.
Linear system has a proportional slope, which gives the system a straight line. And, a non-linear system has a non-proportional slope, which is represented by a non-straight line (usually a curved one). Feel free to edit if you think this is not to the point.
A linear scale is a scale with equal divisions for equal vales, for example a ruler. A non linear scale is where the relationship between the variables is not directly proportional.