Beginning Algebra With Applications, Chapter 5, 5.3, Section 5.3, Problem 42

Graph $y = -2x-1$ by using the slope and $y$-intercept.

$y$-intercept:


$
\begin{equation}
\begin{aligned}

y =& -2x-1
&& \text{Given equation}
\\
y =& -2(0) -1
&& \text{To find the $y$-intercept, let } x = 0
\\
y =& -1
&&

\end{aligned}
\end{equation}
$


The $y$-intercept is $(0,-1)$


$
\begin{equation}
\begin{aligned}

m =& \frac{\text{change in } y}{\text{change in } x}
\\
\\
m =& \frac{-2}{1}
\\
\\
m =& -2

\end{aligned}
\end{equation}
$


Beginning at the $y$-intercept, move to the right 1 unit and then down 2 units.







$(1, -3)$ are the coordinates of a second point on the graph.

Draw a line through $(0,-1)$ and $(1, -3)$