Chapter 6.1, Problem 52MR

To determine

To find the slope of a line that is parallel to the line $3y+2x=7$ .

Answer to Problem 52MR

  $-\frac{2}{3}$ .

Explanation of Solution

Given:

  $3y+2x=7$

Concept used:

Parallel lines have same slope.

Calculation:

Consider the given line,

  $\begin{array}{l}3y+2x=7\\ \Rightarrow 3y=-2x+7\\ \Rightarrow y=-\frac{2}{3}x+\frac{7}{3}\end{array}$

Comparing with $y=mx+c$ , we get

  $m=\text{slope}=-\frac{2}{3}$

Therefore the slope of required is also $-\frac{2}{3}$ .