SOLUTION: sorry about before, here is the full question. write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b

Algebra ->  Linear-equations -> SOLUTION: sorry about before, here is the full question. write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b       Log On


   



Question 256631: sorry about before, here is the full question.
write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
(7,8);x+7y=6

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
WE start with the equation:
(i)x%2B7y=6
step 1 - solve for y to get
(ii) y+=+%28-1%2F7%29x+%2B+6%2F7
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+=+%28-1%2F7%29%2A7+%2B+b
8+=+-1+%2B+b
so,
b+=+9
Now write the equation as
(iv) Y+=+%28-1%2F7%29x+%2B+9