SOLUTION: find the slope-intercept equation of a line that is perpendicular to y=3x-4 and goes through the point (6,2)

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Question 1177488: find the slope-intercept equation of a line that is perpendicular to y=3x-4 and goes through the point (6,2)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the slope-intercept equation of a line
y=mx%2Bb
if the line is perpendicular to y=3x-4, which has a slope 3, it will have a slope negative reciprocal to 3 and it will be -1%2F3
so far equation of the perpendicular line is
y=-%281%2F3%29x%2Bb
and if a line goes through the point (6,2), use it to calculate b
2=-%281%2F3%296%2Bb
2=-2%2Bb
2%2B2=b
b=4

and equation is
y=-%281%2F3%29x%2B4