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?

Question

mathstudent55 · Answer

What do you know about the slopes of parallel lines?

anonymous · Answer

not very much i was out of school for a while in the hospital and i have to get this stuff dont to play football

anonymous · Answer

done"

mathstudent55 · Answer

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mathstudent55 · Answer

Slope is the tilt of a line.
If lines are parallel, they have the same slope.

anonymous · Answer

Right

mathstudent55 · Answer

In the equation

d = 2.5t + 2.2, 

the 2.5 is the slope.

Since the other path is parallel, it must have the same slope, 2.5.

The other path must have an equation 

d = 2.5t + b

where b is a number we will find.

mathstudent55 · Answer

We are given a point of the second path, (0, 1)

We replace t and d of the equation with t = 0 and with d = 1.

d = 2.5t + b, and we solve for b.

1 = 2.5(0) + b

1 = 0 + b

1 = b

We see that b = 1

Now we rewrite the equation of the second path using b = 1.

d = 2.5t + 1

That is the answer.

anonymous · Answer

thanks

mathstudent55 · Answer

You're welcome.