document.write( "Question 567501: What is the equation of the line that passes through (-2,3)and is parallel to 2x+3y=6? \n" ); document.write( "

Algebra.Com's Answer #366563 by mananth(16946) $\"\"$ $\"About$

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2 x + 3 y = 6
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "3 y = -2 x + 6
\n" ); document.write( "Divide by 3
\n" ); document.write( " y = - 2/ 3 x + 2
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = - 2/ 3
\n" ); document.write( "The slope of a line parallel to the above line will be the same
\n" ); document.write( "The slope of the required line will be - 2/ 3
\n" ); document.write( "m= - 2/ 3 ,point ( -2 , 3 )
\n" ); document.write( "Find b by plugging the values of m & the point in y=mx+b
\n" ); document.write( "
\n" ); document.write( "3 = 4/ 3 + b
\n" ); document.write( "b= 5/ 3
\n" ); document.write( "m= - 2/3
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is y =- 2/3x+5/3
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\n" ); document.write( "m.ananth@hotmail.ca
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