document.write( "Question 518825: Write an equation for the line that is parallel to the given line and contains the given point. Write your answer in standard form with integer coefficients. 2x+3y=30; (2,-5) \n" ); document.write( "

Algebra.Com's Answer #345271 by mananth(16946) $\"\"$ $\"About$

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2 x + 3 y = 30
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "3 y = -2 x + 30
\n" ); document.write( "Divide by 3
\n" ); document.write( " y = -2/3 x + 10
\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 , -5 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "-5 = -4/3 + b
\n" ); document.write( "b= -11/3
\n" ); document.write( "
\n" ); document.write( "m= -2/3
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( " y = - 2/ 3 x -11/ 3
\n" ); document.write( "multiply by 3
\n" ); document.write( "3y=-2x-11
\n" ); document.write( "2x+3y=-11
\n" ); document.write( "m.ananth@hotmail.ca
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