SOLUTION: find the equation in the form of y=mx+b through (2,2), perpendicular to y=3x+4.

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Question 383331: find the equation in the form of y=mx+b through (2,2), perpendicular to y=3x+4.
Answer by rfadrogane(214) About Me  (Show Source):
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find the equation in the form of y=mx+b through (2,2), perpendicular to y=3x+4.
Sol'n:
from the equation: y=3x+4, the slope(m) is already known which is 3,
for the perpendicular lines:
(m1)(m2)= -1, where m1 and m2 are the slope of two perpendicular lines,
if we take m1 = 3
so, m2= -1/3
then, at pt. (2,2):
y-y1 = m(x-x1)
y-2=-(x-2)/3
3(y-2)=-(x-2)
3y-6=-x+2
x+3y-8=0 ----answer