document.write( "Question 736809: HOw is this solved?\r
\n" ); document.write( "\n" ); document.write( "Write the slope form of the line that passes through the point A(-5,9) AND is perpendicular to the line with equation 2y-3x+5=0
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Algebra.Com's Answer #450013 by josgarithmetic(39617)\"\" \"About 
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You ask, \"HOW...?\"
\n" ); document.write( "Good! \r
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\n" ); document.write( "\n" ); document.write( "Here is how:
\n" ); document.write( "A line perpendicular to 2y-3x+5=0 will have a slope equal negative reciprocal of the slope of \"2y-3x%2B5=0\".\r
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\n" ); document.write( "\n" ); document.write( "2y-3x+5=0
\n" ); document.write( "\"2y=3x-5\"
\n" ); document.write( "\"y=%283%2F2%29x-5%2F2\"
\n" ); document.write( "Slope of the given line is \"%283%2F2%29\". The line perpendicular to the given line has a slope of \"-%282%2F3%29\".\r
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\n" ); document.write( "\n" ); document.write( "The line we want has slope \"-%282%2F3%29\" and contains the point A(-5, 9). Let's use slope-intercept form to find the y-intercept*.
\n" ); document.write( "\"y=-%282%2F3%29x%2Bb\"
\n" ); document.write( "\"y%2B%282%2F3%29x=b\"
\n" ); document.write( "\"b=y%2B%282%2F3%29x\"
\n" ); document.write( "substitute the coordinate values for A,
\n" ); document.write( "\"b=9%2B%282%2F3%29%28-5%29\"
\n" ); document.write( "\"b=9-10%2F3\"
\n" ); document.write( "\"b=27%2F3-10%2F3\"
\n" ); document.write( "\"b=17%2F3\"
\n" ); document.write( "OR
\n" ); document.write( "\"b=5%262%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "Solution equation to question is \"highlight%28y=-%282%2F3%29x%2B17%2F3%29\" OR \"highlight%28y=-%282%2F3%29x%2B5%262%2F3%29\". \r
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\n" ); document.write( "\n" ); document.write( "* You can choose point-slope form instead and do appropriate arithmetic steps. Also, you could use or put your equation into or use from standard form if you wished.
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