Question 199682
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y = \frac{7}{5}x - 3]


<u>To solve for *[tex \Large x]</u>


1. Add 3 to both sides.


2. Multiply both sides by *[tex \Large \frac{5}{7}].


<u>To find the *[tex \Large x]-intercept.</u>


Substitute 0 for *[tex \Large y] and then solve for the value of *[tex \Large x]


The *[tex \Large x]-intercept will be the ordered pair *[tex \Large \left(a,0\right)] where *[tex \Large a] is the value of *[tex \Large x] computed when *[tex \Large y = 0]


<u>To find the *[tex \Large y]-intercept.</u>


Substitute 0 for *[tex \Large x] and then solve for the value of *[tex \Large y].  It will be the value of the constant term on the right hand side of your original equation.


The *[tex \Large y]-intercept will be the ordered pair *[tex \Large \left(0,b\right)] where *[tex \Large b] is the value of *[tex \Large y] computed when *[tex \Large x = 0]


The <u>slope</u> is the coefficient on *[tex \Large x] in your original equation.


<u>Find three ordered pairs to graph</u>


You already have two points, namely the two intercepts.  Select a value for *[tex \Large x] that is neither 0 nor the value you calculated when you were determining the *[tex \Large x]-intercept.  Substitute this value for *[tex \Large x] in your original equation and then calculate the resulting value for *[tex \Large y].  The ordered pair for your third point will be *[tex \Large \left(x_1,y_1\right)] where *[tex \Large x_1] is the *[tex \Large x] value you selected and *[tex \Large y_1] is the *[tex \Large y] value you calculated.


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