Question 82688
{{{6x  -  7y  =  8}}} Start with the given equation


{{{-  7y  =  8-6x}}} Subtract 6x from both sides


{{{y  =  (8-6x)/-7}}} Divide both sides by -7


{{{y  =  8/-7-(6x)/-7}}} Break up the fraction

{{{y  =  (6/7)x-8/7}}} Rearrange the terms so the x term is first. So the equation is now in {{{y=mx+b}}} form where {{{m=6/7}}} which is the slope and {{{b=-8/7}}} which is the y-intercept. So the slope is {{{6/7}}}