SOLUTION: Find the equation of the line that passes through (4,2) and is perpendicular to the line 3y

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Question 68373This question is from textbook An Incremental Development
: Find the equation of the line that passes through (4,2) and is perpendicular to the line 3y - 2x = 5 This question is from textbook An Incremental Development

Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
3Y-2X=5
3Y=2X+5
Y=2X/3+5/3 THUS THIS LINE HAS A SLOPE OF (2/3) & A LINE PERPENDICULAR TO THIS LINE THEN HAS A SLOPE OF THE NEGATIVE RECIPRICAL OF THIS SLOPE. THUS THE NEW SLOPE IS(-3/2). NOW SUBSTITUTE THE POINTS THROUGH WHICH THIS NEW LINE PASES (4,2) FOR THE X & Y VALUES IN THE EQUATION ----
Y=mX+b WHERE (m=SLOPE) & SOLVE FOR THE Y INTERCEPT (b) THUS:
2=-3/2*4+b
2=-12/2+b
2=-6+b
2+6=b
8=b WHICH IS THE Y INTERCEPT OF THE NEW LINE. THUS THE EQUATION OF THIS LINE IS
Y=-3/2X+8

SOLUTION: Find the equation of the line that passes through (4,2) and is perpendicular to the line 3y - 2x = 5