00:01
In this video, i'm asked to define what is a constant of proportionality and what are the units of this.
00:08
What a constant of proportionality is a constant in a linear equation, which relates to variables.
00:17
And the standard form you may be used to seeing is a variable y is a function of x.
00:24
Okay, so it's mx plus b.
00:29
Okay, this is a linear equation, and in this equation, m is our constant of proportionality.
00:37
Okay, b is some other constant, but that does not affect the relationship between x and y.
00:42
Okay, so what are the units of m? okay, when we look at a graph, okay, where we have an x axis and a y axis, okay, and this is the origin here at the center, that's positive, positive.
00:58
M, our constant of proportionality, is going to be the slope of this line here, and that is given by m equals delta y over delta x.
01:13
Okay, so the units of this can vary depending on what our graph shows here.
01:19
So let's say we're plotting distance in meters, so we have meters for our units here on the y -axis as a function of time, time in seconds.
01:28
On the x -axis.
01:31
My units will be in meters per seconds, and you may recognize this as velocity...