document.write( "Question 705865: Write an equation in standard form using only integers for a line perpendicular to y=9x+5 and containing (5,4). \n" ); document.write( "

Algebra.Com's Answer #434854 by josgarithmetic(39617) $\"\"$ $\"About$

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slope of desired line is -1/9 because product of slopes for perpendicular lines is -1.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-%281%2F9%29x%2Bb\"$ , and we will want to find b.
\n" ); document.write( " $\"b=y%2B%281%2F9%29x\"$
\n" ); document.write( "Our point which must be on this line is x=5, y=4.\r
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\n" ); document.write( "\n" ); document.write( "b=(4)+(1/9)(5)
\n" ); document.write( "b=4+5/9
\n" ); document.write( "b=(36+5)/9
\n" ); document.write( "b=41/9
\n" ); document.write( "Desired equation for our line is $\"y=-%281%2F9%29x%2B41%2F9\"$ . Notice all constant values are kept in rational form, no decimals, to ensure ease in converting equation to use only whole or interger numbers. \r
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\n" ); document.write( "\n" ); document.write( "That's still in general form and otherwise unfinished; Now maybe you can finish. \n" ); document.write( "

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