Question 399049
<font face="Times New Roman" size="+2">


Since (8,4) is an element of the solution set of *[tex \Large y\ =\ \frac{3}{4}x\ -\ 2], there are an infinite number of answers to this problem (if (8,4) had NOT been an element of the solution set of *[tex \Large y\ =\ \frac{3}{4}x\ -\ 2], there would be no solutions).  Follow the procedure to determine as many of them as you like.


Pick any value you like for *[tex \Large m], then use the point-slope form of an equation of a line:


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


Substituting 8 and 4 for *[tex \Large x_1] and *[tex \Large y_1].


Solve for *[tex \Large y] in terms of everything else putting your equation into *[tex \Large y\ =\ mx\ +\ b] form.  Determine the *[tex \Large b] to go with your chosen *[tex \Large m] by inspection.  Repeat as often as pleases you with as many real number selections for *[tex \Large m] that you like.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/"target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>