I am working on a physics lab report on rotational kinematics. I plotted a graph

Question

I am working on a physics lab report on rotational kinematics. I plotted a graph and found a line of best fit. The next step is telling me to use my slope of the best fit line to obtain a value of the angular acceleration of motion. I am confused as to what data I need to plug into the equation of my slope y=0.4582x - 0.4825 to determine a value of angular velocity and then my percent difference (the way I calculated the percent differences are all extremely high so I'm assuming I did it wrong).

Chart plotted of w (rad/s) vs t

Explanation / Answer

As you made a graph between the angular velocity and the time
and your equation is given by
Y = 1.0686 X + 0.0735
so here Y is representing angular velocity corresonding to time which is represented by x
so at any value of X you can find out the value of angular velocity
say at X = 2
so then put x = 2 in your equation and find out the value for Y.
For angular acceleration you have to differentiate your equation
dY/dx = 1.0686
that means angular acceleration is independent of time that means it will remain same for all time.

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