Chapter 11.5, Problem 10MRE

To determine

To calculate:

Slope of the line $3x-2y=6$ .

Answer to Problem 10MRE

Slope of the line $3x-2y=6$ is $m=\frac{3}{2}$ .

Explanation of Solution

Give information:

Expression:

  $3x-2y=6$

Calculation:

Given is,

  $3x-2y=6$

To find slope of the line first need to solved for $y$ ,

  $\begin{array}{l}3x-2y=6\\ -2y=-3x+6\end{array}$

Divide by $-2$ on both sides,

  $\begin{array}{l}\frac{-2y}{-2}=\frac{-3x}{-2}+\frac{6}{-2}\\ y=\frac{3}{2}x-3\end{array}$

Slope is coefficient of $x$

Slope or $m=\frac{3}{2}$

Therefore, Slope of the line $3x-2y=6$ is $m=\frac{3}{2}$ .