Answer:
[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]
Step-by-step explanation:
In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.
The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].
We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.
This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation
[tex]y = \frac{1}{4}x + 5[/tex].
Hope this helped!
