# SOLUTION: find the equation of a line that has the given properties. graph each line. contains (9,3); perpendicular to the line x+3y=-27

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: find the equation of a line that has the given properties. graph each line. contains (9,3); perpendicular to the line x+3y=-27      Log On

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 Question 601513: find the equation of a line that has the given properties. graph each line. contains (9,3); perpendicular to the line x+3y=-27Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!1 x + 3 y = -27 Find the slope of this line 3 y = -1 x -27 Divide by 3 y = - 1/ 3 x + -9 Compare this equation with y=mx+b, m= slope & b= y intercept slope m = - 1/3 The slope of a line perpendicular to the above line will be the negative reciprocal 3 m1*m2=-1 The slope of the required line will be 3 m= 3 ,point ( 9 , 3 ) Find b by plugging the values of m & the point in y=mx+b 3 = 27 + b b= -24 m= 3 The required equation is y=3x-24 m.ananth@hotmail.ca