Question

Y - 200 = -5(x - 24)
Graph

Answer 1

The graph in the attached figure

Explanation:

we have

`y-200=-5(x-24)`

This is the equation of the line in point slope form

where

the slope is
`m=-5`

the point is
`(24,200)`

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

`y-200=-5(0-24)` --->
`y=120+200=320`

The y-intercept is (0,320)

For y=0

`0-200=-5(x-24)` --->
`x=40+24=64`

The x-intercept is (64,0)

The graph in the attached figure