document.write( "Question 864279: given this equation y-3=3(x+1), what is the equation in standard form of a perpendicular line that passes thru (5,1) and what is the x intercept of the perpendicular line \n" ); document.write( "
Algebra.Com's Answer #520884 by lwsshak3(11628)\"\" \"About 
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given this equation y-3=3(x+1), what is the equation in standard form of a perpendicular line that passes thru (5,1) and what is the x intercept of the perpendicular line.
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\n" ); document.write( "standard form of equation for a line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "equation of given line:
\n" ); document.write( "y-3=3(x+1)
\n" ); document.write( "y-3=3x+3
\n" ); document.write( "y=3x+6
\n" ); document.write( "slope=3
\n" ); document.write( "..
\n" ); document.write( "slope of line perpendicular to given line=-1/3 (negative reciprocal)
\n" ); document.write( "equation of perpendicular line: y=(-1/3)x+b=-x/3+b
\n" ); document.write( "solve for b using coordinates of given point (5,1)
\n" ); document.write( "1=-1*5/3+b
\n" ); document.write( "b=8/3
\n" ); document.write( "equation: y=-x/3+8/3
\n" ); document.write( "find x-intercept:
\n" ); document.write( "set y=0
\n" ); document.write( "-x/3+8/3=0
\n" ); document.write( "x/3=8/3
\n" ); document.write( "x=8
\n" ); document.write( "x-intercept=8 \n" ); document.write( "
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