Question 197067
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Step 1:  Pick a value, any value, for <b><i>x</i></b> and substitute this value for <b><i>x</i></b> in your equation.


Step 2:  Calculate the value of <b><i>y</i></b> for the selected value of <b><i>x</i></b>.


Step 3:  Create an ordered pair (<b><i>x</i></b>,<b><i>y</i></b>) using the selected and calculated values from steps 1 and 2.


Step 4:  Plot the point represented by your ordered pair on your graph.


Step 5:  Repeat steps 1 through 4 using a different value for <b><i>x</i></b>.


Step 6:  Draw a straight line all the way across your graph through the two plotted points.


Your equation is already in slope-intercept form, namely:


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


where *[tex \LARGE m] is the slope and *[tex \LARGE b] is the y-coordinate of the x-intercept.


The slope is the value of the coefficient on <b><i>x</i></b>.  In this case, since there is no specific coefficient shown, the coefficient is understood to be 1.


The x-intercept is the point (0,<b><i>b</i></b>)


The y-intercept is the point (<b><i>a</i></b>,0) where <b><i>a</i></b> is the value of <b><i>x</i></b> that makes <b><i>y</i> = 0</b>, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 0 = ma + b \ \ \Rightarrow\ \ -ma = b \ \ \Rightarrow\ \ a = -\frac{b}{m}]



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