Question 430695
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write and equation of the line containing the points (3,-1) and is parallel to 8x-7y=9
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        I will provide another solution, much simpler than another tutor produced, and without using decimal numbers.

        This my simple solution will bring you an EXACT equation instead of an approximate equation produced by @mananth.



<pre>
The truth is that if you are given equation of the line

    ax + by = c,

then any parallel line has equation 

    ax + by = d,


with the same form in the left side and some other real number 'd' in the right side.


So, we look for the equation for parallel line

    8x - 7y = d,    (1)

and we should find the value of 'd' such that the coordinates (3,-1) of the given point
satisfy this equation 

    8*3 - 7*(-1) = d,


which gives  d = 24 + 7 = 31.


Thus the needed equation is  8x - 7y = 31.    <U>ANSWER</U>
</pre>

Solved.


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This my solution is a &nbsp;STANDARD &nbsp;TREATMENT &nbsp;for such kind of problems.


Doing this way, &nbsp;you should not worry about the slope, &nbsp;at all.