Units for m & b in y=mx+b Equation

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In the equation y=mx+b, the units of y are determined to be kg x m/s², which corresponds to force in Newtons. Consequently, the slope m must have units of kg to ensure that the term mx matches the units of y. The y-intercept b also shares the same units as y, meaning it is also kg x m/s². The context of the variables x and y is crucial for interpreting the specific meanings of m and b. Understanding these units is essential for correctly applying the equation in physics problems.
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Homework Statement



In an equation of the format y=mx + b, where y=(m1-m2)g and x=acceleration (m/s2) ... what are the units for m and b?
(I know that m is the slope and b is the y-intercept, but what do they mean?)

Thanks :)
 
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Welcome to PF :smile:

Each term, "mx" and "b", must have the same units as y.

So, first question: what are the units of y?

Next question, what units for m would result in mx having those same units?
 
The units of y = kg x m/s^2

Therefore, the units of b must equal kg x m/s^2 as well.

In order for mx to have the same units as y, the units of m should be kg right?

Thanks for your help!
 
Also - does kg x m/s^2 equal Newtons?
 
Yes, to everything you said/asked in post #'s 3 & 4 :smile:

chelseaalyssa said:
(I know that m is the slope and b is the y-intercept, but what do they mean?)

That depends on the context, i.e. on the specific details of what x and y are and how they were measured or calculated.
 
Ok great, Thanks!
 
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