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when two quantities depend on each other (like speed and distance), then when an amount increase in one quantity causes a corresponding amount increase or decrease in the other quantity that is the same regardless of the value at which the measurement was taken, then that's linear.

Sounds a big horrible.

OK, if you drew a graph of one quantity against another, it would form a straight line, and we say it increases or decreases (depending on whether the graph is increasing or decreasing) linearly. it means in creases with a power of 1, with a common ratio for increasing values of x.

OK, what if it was y= ax^2? This is not linear, because it increases with a power of 2.

A linear line takes the form y = mx +c

where m is the ratio and c determines the point the graph cuts the x=0 line.

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