Answer
graph of $-y+5=-2x$:
Work Step by Step
In the form $y=mx+b,$ the given equation, $
-y+5=-2x
,$ is equivalent to
\begin{align*}
-y+5-5&=-2x-5
\\
-y&=-2x-5
\\
-1(-y)&=(-2x-5)(-1)
\\
y&=2x+5
.\end{align*}
Using $y=mx+b$ or the Slope-Intercept Form of linear equations, where $b$ is the $y$-intercept and $m$ is the slope, the equation above has the following characteristics:
\begin{align*}
\text{$y$-intercept: }&
5
\\
\text{Slope: }&
2\text{ or }\dfrac{2}{1}
.\end{align*}
To graph the slope-intercept equation above, start at the $y$-intercept. This corresponds to the point $
(0,5)
$.
Using the notion of the slope as $\dfrac{rise}{run},$ then $rise=
2
$ and $run=
1
.$
From the $y$-intercept, go $\text{
up
}$ by $rise=
2
$ units and then go to the right by $run=
1
$ unit.
This results to the point $
(1,7)
.$
Connecting this point and the $y$-intercept gives the graph of the given equation.