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A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.
Linear speed = change in linear displacement (from some fixed point)/time for that change. [Although this works in all everyday situations, the Theory of Relativity shows that there is no fixed frame of reference and so no fixed point.]
It shows the Y Intercept, meaning when it would cross the Y axis, and it also shows the slope of the line, and whether it is downward sloping or upwards.
linear graph between an independent and independent variable
If variables have zero correlation, they do not have a linear relationship. Zero correlation shows that two things were not found to be related.