SOLUTION: find the equation of the line through (4,3) perpendicular to the line 3x+y=7

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Question 281033: find the equation of the line through (4,3) perpendicular to the line 3x+y=7
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
(4,3) perpendicular to the line 3x+y=7
when finding the perpendicular line u need to use the opposite reciprical of its slope.
3x%2By=7 put it in slope intercept form y=mx+b
y=7-3x
y=-3x%2B7
so -3 is the slope of the perpendicular line so the opposite reciprical is 1%2F3
now we have 3 known variables out of 4
y=mx%2Bb use the slope and the point to find the intercept
3=%281%2F3%294%2Bb
3=%284%2F3%29%2Bb
3-%284%2F3%29=%284%2F3%29-%284%2F3%29%2Bb
%289%2F3%29-%284%2F3%29=b
5%2F3=b
now re write the slope intercept form with the slope and intercept of the line
y=%281%2F3%29x%2B%285%2F3%29 theres your line