Question

Please help and explain part A B C

Answer 1

a).  The y-intercept is the point where the graph touches the y-axis.
       It's the value of ' y ' when x=0.  
       The y-intercept of this graph is  4,500 ft.
       It's the jumper's altitude at time = zero minutes.

b).  The slope of the line is 

                               (change in ' y ') / (change in ' x ')

both over the same part of the graph.

Let's use the whole graph ... the whole slanted line.

' y ' changes from  4,500 ft  to  zero.  The change is  - 4,500 feet
' x ' changes from  zero to  3 minutes.  The change is  3 minutes

Slope  =  (- 4,500 ft) / (3 min)  =  - 1,500 ft/minute 

According to the slope, the diver is descending (dropping, going down).

The rate of drop is    1,500 ft per minute.  Same as  25 ft per second.

c).  The x-intercept is the point where the graph touches the x-axis.
       It's the value of ' x ' that makes ' y ' be zero.
       On this graph, the x-intercept is  3 minutes.
       It's the time when the diver reached the ground ... her altitude became zero.