Question 590907
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You have been given the data to form two ordered pairs of the form *[tex \LARGE (x, p)].  So form the two ordered pairs.


Then use the two-point form of an equation of a line to create the desired equation:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ p\ -\ p_1\ =\ \left(\frac{p_1\ -\ p_2}{x_1\ -\ x_2}\right)(x\ -\ x_1) ]


where *[tex \Large \left(x_1,p_1\right)] and *[tex \Large \left(x_2,p_2\right)] are the coordinates of the given points.  It doesn't matter which ordered pair is number 1 and which is number 2; the result will be the same either way.


Then do the arithmetic and re-arrange so that the equation is in the form *[tex \LARGE p\ =\ mx\ +\ b].  Hint:  *[tex \LARGE m\ =\  \left(\frac{p_1\ -\ p_2}{x_1\ -\ x_2}\right)] and *[tex \LARGE b\ =\ -mx_1\ +\ p_1].


For the revenue equation part, once you have calculated the appropriate numbers for *[tex \LARGE m] and *[tex \LARGE b] substitute the specific *[tex \LARGE mx\ +\ b] in place of *[tex \LARGE p] in *[tex \LARGE xp]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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