Answer:
Line C
Step-by-step explanation:
Hi there!
Speed is equal to Distance divided by Time:
speed = distance / time
Notice how distance is the dependent value on the graph, lying on the y-axis, and time is the independent value on the graph, lying on the x-axis.
The slope of a line is equal to Rise divided by Run:
slope = rise / run
"Rise" means the number of units the line travels up in the y-direction and "run" means the number of units the line travels to the right in the x-direction.
This makes the "rise" of the line equivalent to the distance, and the "run" of the line equivalent to time.
Therefore, speed = slope.
To find the line that shows the object moving at its fastest speed, we must find the line with the greatest slope (or the steepest going up).
That would be line C.
I hope this helps!