Answer:
[tex]y=-x-8[/tex]
Step-by-step explanation:
Slope intercept form is in the general form
[tex]y=mx+b[/tex] such that [tex]m[/tex] is the slope of the line, and that [tex]b[/tex] is the y-intercept of that line.
The equation for slope can be denoted as any of those below
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] Where the y and x terms are from two ordered pairs
[tex]m=\frac{rise}{run}[/tex], such that rise is the vertical change in a line, and run the run is the horizontal change
Work!
In this case, since we are given nothing but a line, we should use [tex]m=\frac{rise}{run}[/tex]
Since the graph goes down by 1 for every 1 distance to the right, the change in rise of y (-1) divided by the run of x (1) means that [tex]m=-1[/tex]
We now have [tex]y=-x+b[/tex]
Since b is the y-intercept, according to the graph [tex]b=-8[/tex]
This leaves you with the final answer of [tex]y=-x-8[/tex]
Hope this helps! :)
