Answer
graph of $y=-4x+5$
Work Step by Step
Using $y=mx+b$ or the Slope-Intercept Form of linear equations, where $b$ is the $y$-intercept and $m$ is the slope, the given equation, $
y=-4x+5
,$ has the following characteristics:
\begin{align*}
\text{$y$-intercept: }&
5
\\
\text{Slope: }&
-4 \text{ or } \dfrac{-4}{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=
-4
$ and $run=
1
.$
From the $y$-intercept, go $\text{
down
}$ by $rise=
-4
$ units and then go to the right by $run=
1
$ unit.
This results to the point $
(1,1)
.$
Connecting this point and the $y$-intercept gives the graph of the given equation.