Question

Anyone can help?? I need it done before 9am please!!

Answer 1

The answer is below

Step-by-step explanation:

The equation for a linear line graph is given by:

y = mx + b, where y and x are variables, m is the slope of the graph and b is the y intercept (that is value of y when x is zero).

The slope (m) of a line passing through two points
`(x_1,y_1)\ and\ (x_2,y_2)` is given by:

`m=(y_2-y_1)/(x_2-x_1)`

A) The first line passes through the point (0, 0) and (10, 60). It is represented as (time, velocity). Hence the slope is:

`m=(60 -0)/(10-0)=6\ m/min^2`

B) The second line passes through the point (10, 60) and (15, 60). Hence the slope is:

`m=(60 -60)/(15-10)=0\ m/min^2`

C) The third line passes through the point (15, 60) and (40, -40). Hence the slope is:

`m=(-40 -60)/(40-15)=-4\ m/min^2`

D) The third line passes through the point (40, -40) and (55, 0). Hence the slope is:

`m=(0 -(-40))/(55-40)=2.67\ m/min^2`