e graph shows the altitude of a helicopter over time.

A graph measuring altitude and time. A line runs through coordinates (0, 10,000) and (15, 4000) and shows a decrease in altitude as time increases

What is the slope of the line and what does it mean in this situation?


The slope is –2000 . This means that the helicopter descends 2000 ft each minute.

The slope is –400 . This means that the helicopter descends 400 ft each minute.

The slope is 400. This means that the helicopter ascends 400 ft each minute.

The slope is 2000. This means that the helicopter ascends 2000 ft each minute.

Respuesta :

Let

x-------> the time

y-------> the altitude of a helicopter

Step 1

Find the slope of the line

we know that

the slope m of the line between two points is equal to

[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

we have

[tex](x1,y1)=(0,10,000)\\(x2,y2)=(15,4,000)[/tex]

substitute in the formula

[tex]m=\frac{(4,000-10,000)}{(15-0)}[/tex]

[tex]m=\frac{(-6,000)}{(15)}[/tex]

[tex]m=-400\frac{feet}{minute}[/tex]

therefore

the answer is the option

The slope is [tex]-400[/tex] . This means that the helicopter descends [tex]400[/tex] ft each minute.


Answer:

-400

Step-by-step explanation: