document.write( "Question 189027This question is from textbook applied college algebra
\n" ); document.write( ": find the equation of the line that contains the point (-1, -3) and is perpendicular to the graph of 3x-5y=2 \n" ); document.write( "
Algebra.Com's Answer #141791 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "Given line 3x-5y=2 in Slope-Intercept Form -->\"y=mx%2Bb\";
\n" ); document.write( "\"5y=2-3x\", divide by \"5\" both terms (left & right):
\n" ); document.write( "\"cross%285%29y%2Fcross%285%29=%282-3x%29%2F5=2%2F5-%283%2F5%29x\"
\n" ); document.write( "\"y=highlight%28-3%2F5%29x%2B2%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "Above line Eqn has a \"Slope=m%5B1%5D=-3%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "The Line passing thru point (-1,-3) perpendicular to 3x-5y=2 has a \"Slope=m%5B2%5D=-1%2Fm%5B1%5D=-1%2F%28-3%2F5%29=%28-1%29%28-5%2F3%29=red%285%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "Then thru point (-1,-3) via Slope-Intercept Form:
\n" ); document.write( "\"-3=%285%2F3%29%28-1%29%2Bb\"
\n" ); document.write( "\"-3=-5%2F3%2Bb\" ---> \"b=-3%2B5%2F3=%28-9%2B5%29%2F3=red%28-4%2F3%29\", Y-Intercept\r
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\n" ); document.write( "\n" ); document.write( "Let fy=0 ----> \"0=%285%2F3%29x-4%2F3\"
\n" ); document.write( "\"%285%2F3%29x=4%2F3\" ---->
\n" ); document.write( "\"red%28x=4%2F5%29\", X-Intercept\r
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\n" ); document.write( "\n" ); document.write( "Therefore, Eqn of the Line is y=(5/3)x-4/3
\n" ); document.write( "In Standard Form and removing fractions:
\n" ); document.write( "\"-%285%2F3%29x%2By%2B4%2F3=0\", multiply whole eqn by 3:
\n" ); document.write( "\"highlight%28-5x%2B3y%2B4=0%29\", Answer\r
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\n" ); document.write( "\n" ); document.write( "We'll see graph:
\n" ); document.write( " --------> perpendicular to, GREEN, 3x-5y=2\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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