document.write( "Question 985978: Find the equation of the line, in slope-intercept form, that satisfies the given conditions.
\n" ); document.write( "The graph is parallel to the graph of
\n" ); document.write( "x + 2y = 8
\n" ); document.write( " and passes through the point whose coordinates are
\n" ); document.write( "(−2, −4). \n" ); document.write( "
Algebra.Com's Answer #606891 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "First sort equation x + 2y = 8
\n" ); document.write( "into y = mx + c form.
\n" ); document.write( "2y = -x + 8
\n" ); document.write( "y = -1/2x + 4.
\n" ); document.write( "Gradient = -1/2
\n" ); document.write( "Lines that are parallel to
\n" ); document.write( "one another are equal.
\n" ); document.write( "m1 = m2
\n" ); document.write( "Setting up new line equation.
\n" ); document.write( "Using formula:
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "m = -1/2 and coords (-2, -4)
\n" ); document.write( "y -(-4)= -1/2(x -(-2))
\n" ); document.write( "y + 4 = -1/2(x + 4)
\n" ); document.write( "y + 4 = -1/2x - 2
\n" ); document.write( "y = -1/2x - 2 - 4
\n" ); document.write( "y = -1/2x - 6
\n" ); document.write( "or multiply through by 2
\n" ); document.write( "2y = -x - 12
\n" ); document.write( "or rearranging
\n" ); document.write( "x + 2y = -12
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "
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