Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y-200=-5(x-24)[/tex]
This is the equation of the line in point slope form
where
the slope is [tex]m=-5[/tex]
the point is [tex](24,200)[/tex]
To graph the line i need two points
From the point (24,200) use the slope to find your next point
The slope is -5, so you will rise 5 (down) and run 1 (to the right).
The next point is (24+1,200-5) ----> (25,195)
Plot the points (24,200) and (25,195), join and graph the line
To better understand the problem find the intercepts
For x=0
[tex]y-200=-5(0-24)[/tex] ---> [tex]y=120+200=320[/tex]
The y-intercept is (0,320)
For y=0
[tex]0-200=-5(x-24)[/tex] ---> [tex]x=40+24=64[/tex]
The x-intercept is (64,0)
The graph in the attached figure