SOLUTION: How would i work the following problem on my T1 84? graph and find the equation of the line from the given information. The line that is parallel to the line 2x + 3y=4 and pa

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Question 618230: How would i work the following problem on my T1 84?
graph and find the equation of the line from the given information.
The line that is parallel to the line 2x + 3y=4 and passes through point (1,2).

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The TI-84 won't help you until you get the equation in
the form y = mx + b, and you have to find the equation 
all by yourself.

Get this in the form y = mx + b

2x + 3y = 4
     3y = -2x + 4
     y = x + 
      y = x + 

Compare to 

      y = mx + b

And you see that m = 

That's the slope of the given line and also the
slope of the desired line.  Next we use the
point-slope form of the equation of a line, 
which is:

y - y1 = m(x - x1)

Where m =  and (x1, y1) = (1,2)

y - 2 = (x - 1)

y - 2 = x + 

    y = x +  + 2

    y = x +  + 

    y = x +  

Now you can get the calculator to graph it.

Press Y=  and after \Y1= type

     -2/3X+8/3  so that it looks like this:

\Y1=-2/3X+8/3

Press ZOOM
Press 6

Then you see this:



Edwin








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