Question 222140
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First realize that the *[tex \Large y]-intercept is the value of the *[tex \Large y]-coordinate of the point where the line intersects the *[tex \Large y]-axis.  That is to say, if the *[tex \Large y]-intercept is -2.1, then the point *[tex \Large \left(0,-2.1\right)] is a point on the line.  Likewise, *[tex \Large x]-intercepts represent a point *[tex \Large \left(a,0\right)] where *[tex \Large a] is the *[tex \Large x]-intercept.


Now you can see that you have two problems where you are given two points and need to derive the equation of the line passing through the two points.  Use the two-point form of the 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.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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