How is the slope of a line related to speed?

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How is the slope of a line related to speed?

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Answer 1 · 2015-05-27T15:37:11

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

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

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

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

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How is the slope of a line related to speed?

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