Question 94407
Question:


Find the slope for 5x+6y=18


Answer:

The standards slope-intercept form of a line is given by,

y = mx + b, where m is the slope and b is the y-intercept.


Now rewrite the given equation in to the standard form...


5x + 6y = 18


subtract 5x from both sides...


5x + 6y - 5x = 18 - 5x


==> 6y = 18 - 5x



Divide both sides by 6


==> {{{ 6y/6 = 18/6 - 5x/6 }}}



==> {{{  y = 3 - (5/6)*x }}}, which is of standard form



Comparing this equation with the standard one, we have..


m = {{{-5/6}}}


That is slope = {{{-5/6}}} and y-intercept = {{{3}}}



Hope you found the explanation useful.


Regards.


Praseena.