document.write( "Question 428412: equation for the line that passes through the point (-1, 2) and is parallel to the line with equation 2y+6x=10 \n" ); document.write( "

Algebra.Com's Answer #297783 by mananth(16946) $\"\"$ $\"About$

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6x+2y=10
\n" ); document.write( "Find the slope of this line 2
\n" ); document.write( "y=-6x+10
\n" ); document.write( "Divide by 2
\n" ); document.write( "y =-3x+ 5
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m =-3
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\n" ); document.write( "The slope of a line parallel to the above line will be the same
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\n" ); document.write( "The slope of the required line will be -3
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\n" ); document.write( "m=-3,point(-1,2 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "2=3.00+ b
\n" ); document.write( "b=-1
\n" ); document.write( "m=-3
\n" ); document.write( "Plug value of the slope and b
\n" ); document.write( "The required equation is y=-3x-1 point (-1, 2) and is parallel to the line with equation 2y+6x=10
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