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Meaning of Graph Quantities

APPH12-UNSX1T

An object moving along a straight line is slowing at a constant acceleration rate. Several data points are collected in the middle of the slowing process, for the object's velocity as a function of time.

The data points are shown on the graph below, along with a best-fit line that has been inserted to extrapolate data for the entirety of the object's motion.

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In using the graph to analyze the object's motion, several different quantities about the best-fit line can be calculated.

Which quantities would be equal to the object's initial velocity, and to the object's displacement, during its slowing motion?

A

Initial Velocity: Slope
Displacement: Area Under Line

B

Initial Velocity: $x$-intercept
Displacement: Slope

C

Initial Velocity: $y$-intercept
Displacement: Area Under Line

D

Initial Velocity: Slope
Displacement: $y$-intercept