document.write( "Question 72119: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 5y = 4 and passing through (-3, 5). \n" ); document.write( "

Algebra.Com's Answer #51584 by checkley75(3666) $\"\"$ $\"About$

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A LINE PERPENDICULAR TO X-5Y=4 IS IN STANDARD FORM
\n" ); document.write( "-5Y=-X+4
\n" ); document.write( "Y=X/-5+4/-5
\n" ); document.write( "Y=-X/5-4/5 WHICH HAS A SLOPE OF -1/5 SO A PERPENDICULAR LINE'S SLOPE WILL BE 5.
\n" ); document.write( "NOW SUBSTITUTE THE X,Y VALUES OF THE POINT AND SOLVE TH STANDARD EQUATON FOR THE Y INTERCEPT(b)
\n" ); document.write( "5=5*-3+b
\n" ); document.write( "b=5-15
\n" ); document.write( "b=-10 SO THE EQUATION OF THIS PERPENDICULAR LINE IS.
\n" ); document.write( "Y=5X-10
\n" ); document.write( " $\"graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y+=+-x%2F5+-4%2F5%2C+y+=+5x+-10%29\"$ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = -x/5 -4/5 and y = 5x -10). \n" ); document.write( "

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