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August 21st, 2015, 12:00 PM   #1
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Relationship Between m and angle

When you are graphing line in slope-intercept form, changing the slope changes the angle of the line as well. I've plot points, give a ~ looking shape, but I no idea what the equation for it is, any ideas?
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August 21st, 2015, 12:25 PM   #2
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Quote:
Originally Posted by 31415269 View Post
When you are graphing line in slope-intercept form, changing the slope changes the angle of the line as well. I've plot points, give a ~ looking shape, but I no idea what the equation for it is, any ideas?
Let $\displaystyle \theta$ be the positive (counterclockwise) angle between the positive end of the $\displaystyle x$-axis and the line. Then $\displaystyle m = \tan \theta$.

Is 31415269 supposed to be an approximate value for $\displaystyle 10000000\pi$?
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August 21st, 2015, 12:47 PM   #3
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Ummm... not exactly, the graphing calculator I use disagrees. Its more of a tan(x) type a thing.

About my user name, kinda pi is about 3.14152926 while my username is 31415269. So, yeah, kinda.

Last edited by 31415269; August 21st, 2015 at 12:57 PM.
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August 21st, 2015, 01:30 PM   #4
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Actually, nevermind tan(x) doesn't work either. Someone else come help!
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August 21st, 2015, 02:33 PM   #5
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A curve doesn't have the equation of a straight line. And your vague description doesn't give enough information to guess the equation.
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August 21st, 2015, 02:43 PM   #6
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I don't think you understand the question and, here, have a link: https://www.desmos.com/calculator/eirexu84ux
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August 22nd, 2015, 12:03 PM   #7
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You titled this thread "Relationship between m and angle" and your first post said
Quote:
When you are graphing line in slope-intercept form, changing the slope changes the angle of the line as well. I've plot points, give a ~ looking shape, but I no idea what the equation for it is, any ideas?
You did not say what you intended "m" to mean! mrtwhs assumed that you meant the "m" in the usual slop-intercept form for a straight line, y= mx+ b, and told you, correctly, that m is the tangent of the angle the line makes with the x-axis.

Now, it appears that that was not at all what you meant! Please tell us what "m" you are talking about.
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August 22nd, 2015, 01:10 PM   #8
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Rather like this...

graphs.PNG
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August 22nd, 2015, 01:52 PM   #9
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Yes, so what is 31415926's question??

(If this was supposed to be the 10000000 times $\displaystyle \pi$ you have a digit out of place.)

Last edited by Country Boy; August 22nd, 2015 at 01:56 PM.
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August 22nd, 2015, 02:18 PM   #10
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Reply to Country Boy: My question is, to restate: What is the formula/equation of the curve created where the x coordinates represent the slope of a straight line and the y coordinates represent the angle of said straight line.
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