document.write( "Question 157184: What should i do for this problem: Line through (1,-3) parallel to 2x-3y=7 \n" ); document.write( "

Algebra.Com's Answer #115835 by checkley77(12844) $\"\"$ $\"About$

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Line through (1,-3) parallel to
\n" ); document.write( "2x-3y=7
\n" ); document.write( "-3y=-2x+7
\n" ); document.write( "y=-2x/-3+7/-3
\n" ); document.write( "y=2x/3-7/3 (RED LINE)
\n" ); document.write( "This line has a slope=2/3. THus the parallel line will also have a slope=2/3.
\n" ); document.write( "replace x & y by (1,-3) & m by the slope=2/3 in the line equation Y=mX+b & SOLVE FOR THE Y INTERCEPT (b).
\n" ); document.write( "-3=2/3*1+b
\n" ); document.write( "-3=2/3+b
\n" ); document.write( "b=-3-2/3
\n" ); document.write( "b=(-3*3-2)/3
\n" ); document.write( "b=(-9-2)/3
\n" ); document.write( "b=-11/3 IS THE Y INTERCEPT.
\n" ); document.write( "Y=2X/3-11/7 (GREEN LINE)
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%2F3+-7%2F3%2C+2x%2F3+-11%2F7%29+\"$ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x/3 -7/3 and 2x/3 -11/7). \n" ); document.write( "

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