Chapter 1.1, Problem 20E

To determine

To find: The slope-intercept equation for the line with slope $m=\frac{1}{3}$ and $y$ -intercept $b=-1$ .

Answer to Problem 20E

The slope-intercept equation for the line with slope $m=\frac{1}{3}$ and $y$ -intercept $b=-1$ is $y=\frac{1}{3}x-1$ .

Explanation of Solution

Given information: The slope of the line is $m=\frac{1}{3}$ and the $y$ -intercept is $b=-1$ .

Formula used: The slope-intercept equation for the line with slope $m$ and $y$ -intercept $b$ is given by,

  $y=mx+b$

Calculation:

Substitute $\frac{1}{3}$ for $m$ and $-1$ for $b$ in the above formula.

  $\begin{array}{c}y=\frac{1}{3}\left(x\right)+\left(-1\right)\\ =\frac{1}{3}x-1\end{array}$

Therefore, the slope-intercept equation for the line with slope $m=\frac{1}{3}$ and $y$ -intercept $b=-1$ is $y=\frac{1}{3}x-1$ .