Answer
$\text{Slope-Intercept Form: }
y=-2
\\\text{Standard Form: }
y=-2$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To find the equation of the line with the following properties:
\begin{array}{l}\require{cancel}
\text{Slope: }
0
\\\text{$y$-intercept: }
(0,-2)
,\end{array}
use the Slope-Intercept Form of linear equations. Give the equation in the Slope-Intercept Form and in the Standard Form.
$\bf{\text{Solution Details:}}$
With the given properties, then $
m=0
$ and $
b=-2
.$ Using $y=mx+b$ (where $m$ is the slope and $b$ is the $y$-intercept) or the Slope-Intercept Form of linear equations, then the equation of the line is
\begin{array}{l}\require{cancel}
y=mx+b
\\\\
y=0x+(-2)
\\\\
y=-2
.\end{array}
Using the properties of equality, in the form $ax+by=c$ or the Standard Form, the equation above is equivalent to
\begin{array}{l}\require{cancel}
y=-2
.\end{array}
The equation of the line is
\begin{array}{l}\require{cancel}
\text{Slope-Intercept Form: }
y=-2
\\\text{Standard Form: }
y=-2
.\end{array}
