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Find the equation of the line passing through $(3,-1)$ that is parallel to the line $2x - 7y = 11$.  Express the answer in standard form.

 Nov 28, 2021
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1)  Find the slope of the given line ... 2x - 7y  =  11     --->     -7y  =  -2x + 11

                                                                                     --->        y  =  (2/7)x - 11/7

      The slope of this line is 2/7.

 

2)  The slope of all lines parallel to this line will also be 2/7.

 

3)  Use the point-slope form to find the equation of the wanted line:

             y - y1  =  m(x - x1)     --->     y - -1  =  (2/7)(x - 3)

 

4)  Simplify the answer to step 3 and place it into the form  Ax + By  =  C

 Nov 28, 2021

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