document.write( "Question 1181785: Write the equation of a line in slope-intercept form that passes through (4,-2) and is parallel to y=1/2x - 7 \n" ); document.write( "
Algebra.Com's Answer #811727 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "The given line is y = (1/2)x - 7
\n" ); document.write( "It's in y = mx+b form where m is the slope and b is the y intercept.\r
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\n" ); document.write( "\n" ); document.write( "We have m = 1/2
\n" ); document.write( "Any line parallel to this will have the same slope but different y intercept.\r
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\n" ); document.write( "\n" ); document.write( "Plug in that value of m, along with (x,y) = (4,-2) and solve for b
\n" ); document.write( "y = mx+b
\n" ); document.write( "-2 = (1/2)*4+b
\n" ); document.write( "-2 = 2+b
\n" ); document.write( "-2-2 = b
\n" ); document.write( "-4 = b
\n" ); document.write( "b = -4\r
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\n" ); document.write( "\n" ); document.write( "Answer: The equation of the parallel line is y = (1/2)x-4\r
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\n" ); document.write( "\n" ); document.write( "We can verify this by plugging x = 4 to get
\n" ); document.write( "y = (1/2)x-4
\n" ); document.write( "y = (1/2)*4-4
\n" ); document.write( "y = 2 - 4
\n" ); document.write( "y = -2
\n" ); document.write( "Showing that (x,y) = (4,-2) is on the line
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