How is the slope of a line related to speed?

1 Answer
Alex Boroda
May 27, 2015

#s = (d) / (t) #, where #s# denotes speed, #d#, distance, and #t#, time
So, #d# is a function of #t#, which can be written as: #d=st#

We know that the general formula for the slope-intercept form is #y=mx + b#

We can easily notice that our function #d# is in fact written in slope-intercept form, with the free term #b# (intercept) being #0#:
#d = st +0#

Therefore, speed is the slope of the function expressing distance as a function of time.

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