Question 453353
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what is the slope-intercept of 2x-7y=-24 passing through (9,11)
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        In his post,  @mananth gives the answers:  the slope is  0.29,  x-intercept is  8.43.

        Both his answers are incorrect. His solution is incorrect,  too.

        I came to bring a correct solution to this problem.



<pre>
We want to find the slope-intercept equation for the line parallel 2x-7y = -24 and passing through (9,11).


In standard form, this line have the same left side

    2x - 7y = c    (1)

and some constant 'c' in the right side.


To find the value of 'c', substitute the coordinates (x,y) = (9,11) into equation (1).  You will get

    c = 2*9-7*11 = -59.


So, equation (1) takes the form

    2x - 7y = -59.    (2)


To get the "slope-intercept form", express 'y' from equation (2).

It is

    y = {{{(2/7)x}}} + {{{59/7}}}.


Thus the slope of the sought line is  {{{2/7}}}  and its x-intercept is  {{{59/7}}}.


@mananth produced approximate decimals with only 2 correct decimals after the decimal dot - 
- but the problem asks about PRECISE values, not about their approximate values.


It is why the solution by @mananth fails and is incorrect.
</pre>

Solved correctly.