Question

The graph shows the altitude of a bird over time. A graph measuring altitude and time.

What is the slope of the line and what does it mean in this situation?
The slope is –500 . This means that the bird descends 500 m each minute.
The slope is –350 . This means that the bird descends 350 m each minute.
The slope is 350. This means that the bird ascends 350 m each minute.
The slope is 500. This means that the bird ascends 500 m each minute

Answer 1

slope = (5000 -3500)/(2 - 5) = 1500/-3 = -500
slope = -500

answer
The slope is –500 . This means that the bird descends 500 m each minute.

Answer 2

Answer: The slope is –500 . This means that the bird descends 500 m each minute

Explanation:

The slope of a line that passes through (a,b) and (c,d) is given by :-

`m=(d-b)/(c-a)`

From the graph , the x-axis is representing time in minutes and y-axis is representing altitude in meters .

The line is passing through (2,5000) and (5,3500).

Then, the slope of the line will be :

`m=(5000-3500)/(2-5)\\\\=(1500)/(-3)=-500`

I.e. slope =- 500.

Since , the slop is negative it means the bird descends 500 m each minute.

Hence, the correct answer is

The slope is –500 . This means that the bird descends 500 m each minute