Question 83595
{{{x+7y=6}}} Start with the given equation
{{{7y=6-x}}} Subtract 6x from both sides
{{{y=(6-x)/7}}} Divide both sides by  7
{{{y=6/7-x/7}}} Break up the fraction
{{{y=(-1/7)x+6/7}}} Rearrange the terms into {{{y=mx+b}}} form where m is the slope and b is the y coordinate of the y intercept


So the slope is {{{-1/7}}} and the y intercept is (0,{{{6/7}}})