Chapter 5.3, Problem 36P

Find the slope and the $y$-intercept of the graph of each equation.

$y+4=-6x$

To determine

The slope and the y - intercept of the graph this equation

  $y+4=-6x$

Answer to Problem 36P

The slope $m=-6$ and intercept $b=-4$

Explanation of Solution

Given information:

The equation $y+4=-6x$

Calculation:

The slope and the y - intercept of the graph of each equation

  $y+4=-6x$

We write the equation is general form as

  $\begin{array}{l}y+4=-6x\\ \Rightarrow y=-6x-4\end{array}$

Comparing the equation of slope and intercept form of an equation $y=mx+b$ , where $m$ is the slope and $b$ is the intercept.

Therefore the required slope

  $m=-6$ and intercept $b=-4$