# SOLUTION: Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7

Algebra ->  Rational-functions -> SOLUTION: Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7      Log On

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 Click here to see ALL problems on Rational-functions Question 514992: Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7Answer by lwsshak3(7679)   (Show Source): You can put this solution on YOUR website!Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7 ** standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept for given equation: 3x+2y=7 2y=-3x+7 y=-3x/2+7/2 slope=-3/2 slope of line perpendicular to given line=2/3 (negative reciprocal of -3/2) Equation of perpendicular line: y=2x/3+b solving for b using given point on the line (0,6) 3y=2x+3b 3*6=2*0+3b 18=3b b=6 Equation of perpendicular line: y=2x/3+6