document.write( "Question 52073: The line is perpendicular to the line whose equation is 4x - y = 6 and has the same y-intercept as this line. \n" ); document.write( "
Algebra.Com's Answer #34728 by funmath(2933)\"\" \"About 
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I am assuming that you have to find the equation of the line that meets those requirements.\r
\n" ); document.write( "\n" ); document.write( "Put the line in slope intercept form (y=mx+b)
\n" ); document.write( "m=slope and (0,b)=y-intecept
\n" ); document.write( "A line that is perpendicular to this one would have a slope that in the negative reciprocal of this slope (-1/m)
\n" ); document.write( "4x-y=6
\n" ); document.write( "-4x+4x-y=-4x+6
\n" ); document.write( "0-y=-4x+6
\n" ); document.write( "-y=-4x+6
\n" ); document.write( "-1(-y)=-1(-4x+6)
\n" ); document.write( "y=4x-6
\n" ); document.write( "The slope (m) of this line is 4 the slope of a line that is perpendicular to this line (-1/m) is -1/4.
\n" ); document.write( "The y intercept (b=-6) is the same, so the answer is:
\n" ); document.write( "y=-1/4x-6
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