document.write( "Question 1008979: I need to find the line parallel to y=4/7x -2/7, which contains the given point (3,-5). I get stuck after solving for y and writing in slope-intercept form. The answer I get is y=4/7x - 12/7 - 20/7, which gives me y=4/7x - 32/7 and I know that's wrong. \n" ); document.write( "
Algebra.Com's Answer #624502 by macston(5194)\"\" \"About 
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y=(4/7)x -(2/7) (red line on graph below)
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\n" ); document.write( "If the above equation is correct:
\n" ); document.write( "Slope intercept form:
\n" ); document.write( "y=mx+b
\n" ); document.write( "Where m = the slope = 4/7, y-intercept at (-2/7)
\n" ); document.write( "Parallel lines have the same slope,
\n" ); document.write( "so the solution will have the form:
\n" ); document.write( "y=(4/7)x+b
\n" ); document.write( "We know (3,-5) is a solution for the equation,
\n" ); document.write( "so we use this point to solve for b:
\n" ); document.write( "-5=(4/7)3+b
\n" ); document.write( "-5=(12/7)+b
\n" ); document.write( "(-35/7)-(12/7)=b
\n" ); document.write( "-47/7=b
\n" ); document.write( "Put this b in the equation:
\n" ); document.write( "y=(4/7)x+b
\n" ); document.write( "y=(4/7)x-(47/7) (green line on graph below)
\n" ); document.write( "slope=(4/7), y-intercept at (-47/7)
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\n" ); document.write( "ANSWER: The equation of the parallel line through (3,-5) is:
\n" ); document.write( "y=(4/7)x-(47/7)
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