Two objects are moving along separate linear paths where each path is described by position, d, and time, t. the variable d is measured in meters, and the variable t is measured in seconds. the equation describing the graph of the position of the first object with respect to time is d = 2.5t + 2.2. the graph of the position of the second object is a parallel line passing through (t = 0, d = 1). what is the equation of the second graph?

The equation of the second graph is:

We know that the slope of a line parallel to a given line is equal to the slope of that line.

Here the slope of the second line=2.5

(    Since, first line has slope=2.5  )

Also, we know that the equation of a line passing through (a,b) and slope m is given by:

Here (a,b)= (0,1) and m=2.5 , y=d and x=t

Hence, the equation of second line is given by:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3