Question 256631
WE start with the equation:
(i){{{x+7y=6}}}
step 1 - solve for y to get
(ii) {{{y = (-1/7)x + 6/7}}}
step 2 find the slope. The slope is (-1/7). We want parallel slope. Parallel slopes are all the same, so we still have (-1/7).
step 3 - using y= mx + b, we put in our slope and point to get
(iii) {{{8 = (-1/7)*7 + b}}}
{{{8 = -1 + b}}}
so,
{{{b = 9}}}
Now write the equation as
(iv) {{{Y = (-1/7)x + 9}}}