SOLUTION: Find the equation of the line parrallel to 6x+13y=12 and passing through the point (0,7)

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line parrallel to 6x+13y=12 and passing through the point (0,7)      Log On


   

Question 944857: Find the equation of the line parrallel to 6x+13y=12 and passing through the point (0,7)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First get the equation into the slope-intercept
form which looks like:
+y+=+m%2Ax+%2B+b+ where
+m+ = slope
+b+ = y-intercept
---------------------
+6x+%2B+13y+=+12+
+13y+=+-6x+%2B+12+
+y+=+-%286%2F13%29%2Ax+%2B+12%2F13+
---------------------------
Any straight line parallel to this straight line
will have slope = +-6%2F13+
---------------------------
Use the general point-slope formula
(0,7)
+%28+y+-+7+%29+%2F+%28+x+-+0+%29+=+-6%2F13+
+y+-+7+=+-%286%2F13%29%2Ax+
+13y+-+91+=+-6x+
+13y+=+-6x+%2B+91+
+y+=+-%286%2F13%29%2Ax+%2B+7+
-----------------------
check:
Does it go through (0.7) ?
+7+=+0+%2B+7+
OK