Question 448767
.
Write an equation of the line containing the given point and parallel to the given line. 
Express your answer in the form y=mx+b.
(8,9); x+7y=2
~~~~~~~~~~~~~~~~~~~~~~~~~~~



        The solution in the post by @mananth is  INCORRECT.

        See my correct solution below.



<pre>
The original equation/line is 

    x + 7y = 2


Find the slope of this line

    7y = -1x + 2


Divide by 7

    y = {{{-(1/7)x}}} + {{{2/7}}}.


The slope is  m = {{{-1/7}}}.


The slope of a line parallel to the above line will be the same
The slope of the required line will be {{{-1/7}}}.    <<<---===  not -0.14, as @mananth mistakenly states !


m= {{{-1/7}}}, point (8,9)

Find b by plugging the values of m & the point in

    y = mx + b

    9 = {{{-8/7}}} + b

    b = 10{{{1/7}}}

    m = {{{-1/7}}}

Plug value of the slope and b

The required equation is  y = {{{(-1/7)x}}} + 10{{{1/7}}}.    <U>ANSWER</U>
</pre>

Solved.


----------------------------


Not only this particular problem is solved incorrectly by @mananth.


Many other similar problems were solved incorrectly by @mananth.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Incorrectly solved are ALL similar problem, where coefficients of linear equations 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;are / (should be) rational numbers, which can not be presented as finite decimal fractions. 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Then @mananth, by applying his incorrect algorithm of rounding, makes everything wrong.  


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Rounding in such situations IS NOT ALLOWED.