Question

Two objects are moving along separate linear paths where each path is described by postion, 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 postion of the first object with respect to time is d=2.5t+2.2. The graph of the the position of the second object is a parallel line passing through (t=0,d=1). What is the equation of the second graph.
A) d=2.5t+1
B) d=-0.4t+1
C) d=2.5t+3.2

Answer 1

Linear equation:  d = m t + b

If the graph of the position of the second object is parallel to d = 2.5 t +2.2, than m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Answer: A ) d = 2.5 t + 1

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Answer 2

Linear equation:  d = m t + b
If the graph of the position of the second object is parallel to d = 2.5 t +2.2, than m = 2.5
t = 0, d = 1
1 = 2.5 · 0 + b
b = 1
Answer: A ) d = 2.5 t + 1