Posted by Cassie on .
Which is the equation in standard form of the line that is perpendicular to 6x8y=2 and contains (1,4)?
a) x  4y = 17
b) 4x + 3y = 8
c) 3x + 4y = 13
d) 4x  3y = 16
Please explain how to do this problem. Thanks! :)

Algebra 
Reiny,
here is an easy way:
first of all I would reduce the given line to 3x  4y = 1
since the slopes must be opposite reciprocals, the new equation must be
4x + 3y = c
the only one that has that pattern is b)
test if (1,4) lies on it.
LS = 4 + 12 = 8 = RS
OK then!