document.write( "Question 969250: HELP WITH ALGEBRAIC PROBLEMS!!!\r
\n" ); document.write( "\n" ); document.write( "Write the equation of a line parallel to the given line but passing through the given point.
\n" ); document.write( "y=1/4x-2;(8,-1). \r
\n" ); document.write( "\n" ); document.write( "Write the equation of a line perpendicular to the given line but passing through the given point.\r
\n" ); document.write( "\n" ); document.write( "y=-4x-5;(0,-1)\r
\n" ); document.write( "\n" ); document.write( "Can you please show the steps through out the whole process? I am not sure how to do this without coming up with different answers each time.
\n" ); document.write( "

Algebra.Com's Answer #592155 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"++y+=+%281%2F4%29%2Ax+-+2+\"
\n" ); document.write( "(8, -1 )
\n" ); document.write( "Any line parallel to the given line must
\n" ); document.write( "have slope = \"+1%2F4+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Use general point-slope formula
\n" ); document.write( "\"+%28+y+-%28+-1+%29+%29+%2F+%28+x+-+8+%29+=+1%2F4+\"
\n" ); document.write( "\"+%28+y+%2B+1+%29+%2F+%28+x+-+8+%29+=+1%2F4+\"
\n" ); document.write( "Multiply both sides by \"+4%2A%28+x+-+8+%29+\"
\n" ); document.write( "\"+4%2A%28+y+%2B+1+%29+=+x+-+8+\"
\n" ); document.write( "\"+4y+%2B+4+=+x+-+8+\"
\n" ); document.write( "\"+4y+=+x+-+12+\"
\n" ); document.write( "\"+y+=+%28+1%2F4+%29%2Ax+-+3+\"
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "does it go through ( 8, -1 ) ?
\n" ); document.write( "\"++-1+=+%28+1%2F4+%29%2A8+-+3+\"
\n" ); document.write( "\"+-1+=+2+-+3+\"
\n" ); document.write( "\"+-1+=+-1+\"
\n" ); document.write( "OK
\n" ); document.write( "==========================
\n" ); document.write( "\"+y+=+-4x+-+5+\"
\n" ); document.write( "( 0,-1 )
\n" ); document.write( "Any line perpendicular to the given
\n" ); document.write( "line will have slope =
\n" ); document.write( "\"+m+=+-1+%2F+%28+-4+%29+\"
\n" ); document.write( "\"+m+=+1%2F4+\"
\n" ); document.write( "---------------
\n" ); document.write( "Use general point-slope formula
\n" ); document.write( "\"+%28+y+-%28+-1+%29+%29+%2F+%28+x+-+0+%29+=+1%2F4+\"
\n" ); document.write( "\"+%28+y+%2B+1+%29+%2F+x+=+1%2F4+\"
\n" ); document.write( "Multiply both sidesby \"+4x+\"
\n" ); document.write( "\"+4%2A%28+y+%2B+1+%29+=+x+\"
\n" ); document.write( "\"+4y+%2B+4+=+x+\"
\n" ); document.write( "\"+4y+=+x+-+4+\"
\n" ); document.write( "\"+y+=+%28+1%2F4+%29%2Ax+-+1+\"
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "does it go through ( 0, -1 ) ?
\n" ); document.write( "\"+-1+=+%28+1%2F4+%29%2A0+-+1+\"
\n" ); document.write( "\"+-1+=+-1+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
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