SOLUTION: write the equation of the line that is perpendicular to the line y = 2/3x - 7 and passes through the point (4,1) the answer i got is 3x+2y=14 i want to see if this is right

Algebra ->  Equations -> SOLUTION: write the equation of the line that is perpendicular to the line y = 2/3x - 7 and passes through the point (4,1) the answer i got is 3x+2y=14 i want to see if this is right      Log On


   

Question 328525: write the equation of the line that is perpendicular to the line y = 2/3x - 7 and passes through the point (4,1)
the answer i got is 3x+2y=14
i want to see if this is right
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope would be -(1/slope of line)
m+=+-3%2F2
%28y+-+1%29%2F%28x+-+4%29+=+-3%2F2
y+-+1+=+%28-3%2F2%29%2A%28x+-+4%29
y+=+%28-3%2F2%29%2Ax+%2B+6+%2B+1
y+=+%28-3%2F2%29%2Ax+%2B+7
2y+=+-3x+%2B+14
3x+%2B+2y+=+14
OK