Choose transformed variables X and Y to obtain a straight-line relationship. Y=mX+c m= Delta YDelta X m is the gradient; c is the value of Y when X=0. Both are constants. Label each axis with the transformed quantity and its units. y=3x2+1 plotted against x: a curve. The same law plotted against X=x2: the straight line Y=3X+1, gradient 3, intercept 1.

Choose transformed variables X and Y to obtain a straight-line relationship.

\(Y=mX+c\qquad m=\dfrac{\Delta Y}{\Delta X}\)

\(m\) is the gradient; \(c\) is the value of \(Y\) when \(X=0\). Both are constants.

Label each axis with the transformed quantity and its units.

The Linear Form Y = mX + c

The Linear Form Y = mX + c