Chapter 3.5, Problem 12MRE

To determine

To calculate: The slope and $y-\text{intercept}$ of the line.

Answer to Problem 12MRE

Therefore, slope is $-\frac{1}{6}$ and $y-\text{intercept}$ is $\frac{2}{3}$ .

Explanation of Solution

Given information: The equation of the line,

  $x=4-6y$

Formula used: For calculation of slope and $y-\text{intercept}$ of a line,

  $\begin{array}{l}y=mx+c\\ \text{where }m\text{ is slope and }c\text{ is }y-\text{intercept}\text{.}\end{array}$

Calculation: To calculate the slope and $y-\text{intercept}$ of line,

  $\begin{array}{l}x=4-6y\\ \text{Rearranging the equation and comparing it with standard form,}\\ 6y=-x+4\\ y=-\frac{1}{6}x+\frac{2}{3}\\ \text{Slope}\left(m\right)=-\frac{1}{6}\\ y-\text{intercept=}\frac{2}{3}\end{array}$

Therefore, slope is $-\frac{1}{6}$ and $y-\text{intercept}$ is $\frac{2}{3}$ .