Question

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?

d = 2.5t + 1

d = t + 2.5

d = -0.4t + 1

d = 2.5t + 3.2

Answer 1

d = 2.5t + 1

Explanation:

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Answer 2

The second graph has the same slope of the first (because they are parallel), which is 2.5 and d-intercept of 1.

Then the second equation is d = 2.5t + 1.