document.write( "Question 1198524: Write an equation ​(a) in​ slope-intercept form and ​(b) in standard form for the line passing through ​(-2​,6​) and parallel to x+3y=5. \n" ); document.write( "
Algebra.Com's Answer #832142 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( " the line passing through ​(\"-2\"​,\"6\"​) and parallel to\"+x%2B3y=5\"\r
\n" ); document.write( "\n" ); document.write( " parallel lines have same slope\r
\n" ); document.write( "\n" ); document.write( "so
\n" ); document.write( "\"+x%2B3y=5\"......write in slope-intercept form
\n" ); document.write( "\"+3y=-x%2B5\"
\n" ); document.write( "\"+y=-%281%2F3%29x%2B5%2F3\"\r
\n" ); document.write( "\n" ); document.write( "=> the slope is \"m=-%281%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "​(a) in​ slope-intercept form \r
\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\"
\n" ); document.write( "\"y=-%281%2F3%29x%2Bb\".........use given point to calculate \"b\"
\n" ); document.write( "\"6=-%281%2F3%29%28-2%29%2Bb\"
\n" ); document.write( "\"6=2%2F3%2Bb\"
\n" ); document.write( "\"6-2%2F3=b\"
\n" ); document.write( "\"b=16%2F3\"\r
\n" ); document.write( "\n" ); document.write( "your equation is\r
\n" ); document.write( "\n" ); document.write( "\"y=-%281%2F3%29x%2B16%2F3\"\r
\n" ); document.write( "\n" ); document.write( "(b) in standard form\r
\n" ); document.write( "\n" ); document.write( "\"y=-%281%2F3%29x%2B16%2F3\"..........both sides multiply by \"3\"\r
\n" ); document.write( "\n" ); document.write( "\"3y=-x%2B16\"
\n" ); document.write( "\"x%2B3y=16\"\r
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