Question

What is the rate of change of the following equation?-2y+3x=2

Answer 1

`\begin{gathered} \text{rate of change = }(y_2-y_1)/(x_2-x_1) \\ \text{rate of change = slope = gradient} \\ -2y+3x=2 \\ -2y=2-3x \\ \text{divide through by -2} \\ y=(2)/(-2)-(3x)/(-2) \\ y=-1+(3)/(2)x \\ y=(3)/(2)x-1 \\ \text{ using the equation:} \\ y=mx+c \\ \text{where } \\ m=\text{slope or gradient } \\ \text{Therefore,} \\ slope\text{ or rate of change = }(3)/(2) \end{gathered}`