document.write( "Question 73464: Find the equation of the line satisfying the given conditions : Perpendicular to the graph of y + 6 = -1/3x and passes through the point at (-4,-5) \n" ); document.write( "
Algebra.Com's Answer #52600 by checkley75(3666)\"\" \"About 
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Y+6=-X/3
\n" ); document.write( "Y=-X/3-6 THIS LINE HAS A SLOPE OF -1/3 SO A PERPENDICULAR LINE HAS A SLOPE OF 3.
\n" ); document.write( "NOW REEPLACE THE X&Y VALUES & THE SLOPE (m) IN THE LINE EQUATION (Y=mX+b) & SOLVE FOR THE Y INTERCEPT(b)
\n" ); document.write( "-5=-4*3+b
\n" ); document.write( "-5=-12+b
\n" ); document.write( "b=-5+12
\n" ); document.write( "b=7 THUS THE LINE EQUATION IS:
\n" ); document.write( "Y=3X+7
\n" ); document.write( "FOLLOWING IS THE GRAPH OF THESE TWO LINES:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y+=+-x%2F3+-6%2C+y+=+3x+%2B7%29+\" (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = -x/3 -6 and y = 3x +7).
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