Respuesta :

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

Ver imagen calculista

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