document.write( "Question 829839: the angle from the line through (-1,10) and (4,-7)to the line through (4,2) and (-1,-9) is 135.find y \n" ); document.write( "

Algebra.Com's Answer #500168 by josgarithmetic(39617) $\"\"$ $\"About$

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Find y for what? The intersection of the defined line? The angle is not needed for that.\r
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\n" ); document.write( "\n" ); document.write( "First line, slope (-7-10)/(4-(-1))=-17/5
\n" ); document.write( "b=y-mx
\n" ); document.write( "b=-7-(-17/5)4=-7+68/5=6.6
\n" ); document.write( "y=-(17/5)x-3.6
\n" ); document.write( "Solve for x
\n" ); document.write( "5y=-17x-18
\n" ); document.write( "5y+18=-17x
\n" ); document.write( "x=-(5y+18)/17\r
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\n" ); document.write( "\n" ); document.write( "Second line, slope (-9-2)/(-1-4)=11/5
\n" ); document.write( "b=y-mx
\n" ); document.write( "b=2-(11/5)4=2-44/5=-6.8
\n" ); document.write( "y=(11/5)x-6.8
\n" ); document.write( "Solve for x
\n" ); document.write( "y+6.8=(11/5)x
\n" ); document.write( "x=(5/11)(y+6.8)\r
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\n" ); document.write( "\n" ); document.write( "The x expressions must equal at the intersection.
\n" ); document.write( "-(5y+18)/17=5(y+6.8)/11
\n" ); document.write( "-11(5y+18)=15*5(y+6.8)
\n" ); document.write( "-55y-18*11=5*15y+5*15*6.8
\n" ); document.write( "-55y-5*15y=15*5*6.8+18*11
\n" ); document.write( "y(55+5*15)=-(5*15*6.8+18*11)
\n" ); document.write( "130y=-708
\n" ); document.write( "y=-(708)/130
\n" ); document.write( "y=-5.446\r
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\n" ); document.write( "\n" ); document.write( "Was that what you wanted? \n" ); document.write( "

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