PhysicsIntroductory Physical ScienceMathematical RelationshipsOn this pageMathematical RelationshipsCommon mathematical relationships RelationshipSignatureRatiolineary=xy=xy=xy2y1=x2x1\frac{y_2}{y_1}=\frac{x_2}{x_1}y1y2=x1x2quadraticy=x2y=x^2y=x2y2y1=(x2x1)2\frac{y_2}{y_1}=(\frac{x_2}{x_1})^2y1y2=(x1x2)2square rooty=xy=\sqrt{x}y=xy2y1=x2x1\frac{y_2}{y_1}=\sqrt{\frac{x_2}{x_1}}y1y2=x1x2inversey=1xy=\frac{1}{x}y=x1y2y1=(x2x1)−1\frac{y_2}{y_1}=(\frac{x_2}{x_1})^{-1}y1y2=(x1x2)−1