document.write( "Question 49112This question is from textbook Beginning Algebra
\n" ); document.write( ": Please help write the equation of the line which passes through the point (2, 1) and is parallel to the line with equation y =5/2x + 6 \r
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Algebra.Com's Answer #32547 by Earlsdon(6294) $\"\"$ $\"About$

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Recall that parallel lines have the same slope.
\n" ); document.write( "The slope, m, of the given line $\"y+=+%285%2F2%29x+%2B+6\"$ is: $\"m+%5D+5%2F2\"$ , so, for the new line, you can write:\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+%285%2F2%29x+%2B+b\"$ To find the value of b, the y-intercept, just substitute the x- and y-coordinates of the given point (2, 1) and solve for b.\r
\n" ); document.write( "\n" ); document.write( " $\"1+=+%285%2F2%29%282%29+%2B+b\"$ Simplify.
\n" ); document.write( " $\"1+=+5+%2B+b\"$ Subtract 5 from both sides of the equation.
\n" ); document.write( " $\"-4+=+b\"$ Now you can write the final equation of the new line:\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+%285%2F2%29x+-+4\"$ \n" ); document.write( "

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