document.write( "Question 511148: Write an equation for the line that is perpendicular to y = – x + 4 and passes through (–4, –5). \n" ); document.write( "
Algebra.Com's Answer #342020 by Maths68(1474)\"\" \"About 
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Write an equation for the line that is perpendicular to y = – x + 4 and passes through (–4, –5).\r
\n" ); document.write( "\n" ); document.write( "Since lines are perpendicular; multiplication of the their slopes will result in (-1) or in other words their slope will be reciprocal and the sign (- or +) will be inverse.\r
\n" ); document.write( "\n" ); document.write( "Given line
\n" ); document.write( "y=-x+4
\n" ); document.write( "Slope of the given line = -1
\n" ); document.write( "slope of the required will be = 1\r
\n" ); document.write( "\n" ); document.write( "Now we have a point and slope we can put the values in point-slope form of the equation to find the required line
\n" ); document.write( "y2-y1/x2-x1=m
\n" ); document.write( "-5-y/-4-x=1
\n" ); document.write( "-5-y=-4-x
\n" ); document.write( "-(5+y)=-(4+x)
\n" ); document.write( "5+y=4+x
\n" ); document.write( "y=4+x-5
\n" ); document.write( "y=x-1
\n" ); document.write( "Above equation is the required equation of the line.\r
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