SOLUTION: what equation of a line parrel to the line with equation, 8x-6y=7 and through point (6,-1)

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Question 800584: what equation of a line parrel to the line with equation, 8x-6y=7 and through point (6,-1)
Answer by Finavon(81) About Me  (Show Source):
You can put this solution on YOUR website!
In the form y=mx+c
m=slope and c=intercept (y @ x=0)
Original: 8x-6y=7 becomes +y=%288%2F6%29%2Ax-7%2F6+
At x=6 y=8-7/6=41/6
This is +41%2F6+%2B+1+=+47%2F6+ above (6,-1)
Shift intercept down by this amount
New:
slope unchanged; intercept +-7%2F6-47%2F6=-54%2F6=-9+
+y=%288%2F6%29%2Ax+-+9+
removing fractions:
6y=8x-54 or 4x-27=3y
Check (6,-1) 24-27=-3
Graphically:
+graph%28300%2C300%2C-20%2C20%2C-20%2C20%2Cy=%288x-7%29%2F6%2Cy=%284x-27%29%2F3%29+