document.write( "Question 178461: write the equation of a line parallel to x+2y=7.which passes through the point(-5,-4)
\n" ); document.write( "the answer I came up with was y=-1/2x-13/2 is this correct? \n" ); document.write( "
Algebra.Com's Answer #133407 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
x+2y=7 Rewrite in the slope-intercept format to identify the slope
\n" ); document.write( "2y=-x+7
\n" ); document.write( "2/2y=-1/2x+7/2
\n" ); document.write( "y=-1/2x+7 Resulting in a slope of -1/2
\n" ); document.write( ".
\n" ); document.write( "y=mx+b Since the lines are parallel, the slopes of the two lines are equal
\n" ); document.write( "The second line has a slope of -1/2 and a point of (-5, -4)
\n" ); document.write( "-4=(-1/2)(-5) + b Plug-in the values in order to solvle for the y-intercept
\n" ); document.write( "-4=5/2+b Solve for the b-value (also known as the y-intercpet)
\n" ); document.write( "-4+(-5/2)=b
\n" ); document.write( "-13/2=b
\n" ); document.write( ".
\n" ); document.write( "Putting it all together gives your answer in which I agree:
\n" ); document.write( "y=-1/2x-13/2\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "Check by graphing both lines. They should have the same slope on your calculator.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );