Linearization of Equations

Y=mX+c Rearrange the equation to match the given axes. Identify Y, X, the constant gradient m and the constant intercept c. **Given equation** | **Rearranged form** | **Plot (Y against X)** | **Gradient and intercept** y=ax2+bx | yx=ax+b | yx against x | m=a c=b y=ax2+bx | yx2=b(1x)+a | yx2 against 1x | m=b c=a y=a+ bx | y=b(1x)+a | y against 1x | m=b c=a y=ax+ bx | xy=ax2+b | xy against x2 | m=a c=b An equation can have several valid linear forms. Use the one matching the question; any divided variable must be nonzero.