document.write( "Question 802511: passing through (-1,3) and parallel to the line whose equation is 3x-2y-5=0 \n" ); document.write( "

Algebra.Com's Answer #483902 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
3 x -2 y = 5
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "-2 y = -3 x + 5
\n" ); document.write( "Divide by -2
\n" ); document.write( " y = 3/2 x -5/2
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = 3/2
\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 3/2
\n" ); document.write( "m= 3/2 ,point ( -1 , 3 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "3 = -3/ 2 + b
\n" ); document.write( "b= 4.5
\n" ); document.write( "m= 3/2
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is y = 3/2 x + 9/ 2
\n" ); document.write( "
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

\n" );