Question 394081
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It is possible to find the value of R so that the line through (8,R) and (4,5) has a slope of -4.  And it is possible to find the value of r so that the line through (8,r) and (4,5) has a slope of -4.  But it is not possible to find the value of R so that the line through (8,r) and (4,5) has a slope of -4 without some indication of a relationship between the value of R and the value of r.  Yes, R and r are two different things, and no, I do not "know what you meant" even though I know what you meant.


Use the slope formula.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ m\ =\ \frac{y_1\ -\ y_2}{x_1\ -\ x_2} ]


where *[tex \Large \left(x_1,y_1\right)] and *[tex \Large \left(x_2,y_2\right)] are the coordinates of the given points.


So, solve the equation:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{r\ -\ 5}{8\ -\ 4}\ =\ -4]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{R\ -\ 5}{8\ -\ 4}\ =\ -4]


depending on which variable tickles your fancy.


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