document.write( "Question 1131741: how do you find for y if you have this problem
\n" ); document.write( "(3,-7) 2x-5y=3
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Algebra.Com's Answer #748396 by MathLover1(20849)\"\" \"About 
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given:\r
\n" ); document.write( "\n" ); document.write( "point (\"3\",\"-7\") \r
\n" ); document.write( "\n" ); document.write( "equation of a line: \"2x-5y=3\"\r
\n" ); document.write( "\n" ); document.write( "case 1:\r
\n" ); document.write( "\n" ); document.write( "since you have nothing else, I guess you need to prove does this point lie on givren line\r
\n" ); document.write( "\n" ); document.write( "\"2x-5y=3\"...........plug in x and y coordinates of the given point\r
\n" ); document.write( "\n" ); document.write( "\"2%2A3-5%28-7%29=3\"\r
\n" ); document.write( "\n" ); document.write( "\"6%2B35=3\"\r
\n" ); document.write( "\n" ); document.write( "\"39%3C%3E3\"=> point (\"3\",\"-7\") does not lie on given line\r
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\n" ); document.write( "\n" ); document.write( "case 2:\r
\n" ); document.write( "\n" ); document.write( "you might have to find equation o another line that is parallel or perpendicular to given line and passes through given point\r
\n" ); document.write( "\n" ); document.write( "so, if you need to find a line \"y=mx%2Bb\" that is parallel to given line and passes through given point, you need\r
\n" ); document.write( "\n" ); document.write( "first write your line in slope-intercept form (solve it for \"y\"):\r
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\n" ); document.write( "\n" ); document.write( "\"2x-5y=3\"\r
\n" ); document.write( "\n" ); document.write( "\"2x-3=5y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=%282%2F5%29x-3%2F5\"=>slope is \"2%2F5\"\r
\n" ); document.write( "\n" ); document.write( "since parallel lines have same slope, so far your equation is\r
\n" ); document.write( "\n" ); document.write( "\"y=%282%2F5%29x%2Bb\".........use point (\"3\",\"-7\") to ind \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"-7=%282%2F5%293%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"-7=%286%2F5%29%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"-7-%286%2F5%29=b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=-35%2F5-6%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"b=-41%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "and, parallel line is: \"y=%282%2F5%29x-41%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "case 3:\r
\n" ); document.write( "\n" ); document.write( "if you need to find a line \"y=mx%2Bb\" that is perpendicular to given line and passes through given point, \r
\n" ); document.write( "\n" ); document.write( "perpendicular line will have a slope negative reciprocal of the \"%282%2F5%29\" and it is:
\n" ); document.write( "\"-1%2F%282%2F5%29=-5%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-%285%2F2%29x%2Bb\".........use point (\"3\",\"-7\") to ind \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"-7=-%285%2F2%293%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"-7=-%2815%2F2%29%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"-7%2B%2815%2F2%29=b\"\r
\n" ); document.write( "\n" ); document.write( "\"-14%2F2%2B15%2F2=b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "and, perpendicular line is: \"y=-%285%2F2%29x%2B1%2F2\"\r
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