Question 663807
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The conditions for this problem are improperly stated in my view.  The intercepts of a line are <i><b>points</b></i> which are properly described with ordered pairs (assuming that you are working in *[tex \LARGE \mathbb{R}^2] space) rather than scalar constants.


Hence, the conditions of the problem should have been *[tex \LARGE x]-intercept: *[tex \LARGE \left(-\frac{1}{9},\,0\right)] and *[tex \LARGE y]-intercept: *[tex \LARGE \left(0,\,7\right)]


Use the two-point form of an equation of a line:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ \left(\frac{y_1\ -\ y_2}{x_1\ -\ x_2}\right)(x\ -\ x_1) ]


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.


Do the arithmetic and simplify to the point-slope form:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ m(x\ -\ x_1) ]


and the slope-intercept form:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ mx\ +\ b]


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