document.write( "Question 161597: On my worksheet it states:
\n" ); document.write( "Write an equation of the line that passes through the point at (4,4) and is perpendicular to the line whose equation is 2x+y=7.
\n" ); document.write( "I am totally lost and I have to show my work.
\n" ); document.write( "Please help.
\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #119078 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
First determine the slope of 2x+y=7
\n" ); document.write( "Do this by putting it into the \"slope-intercept\" form of a line:
\n" ); document.write( "y = mx + b
\n" ); document.write( "where
\n" ); document.write( "m is slope
\n" ); document.write( "b is the y-intercept at (0,b)
\n" ); document.write( ".
\n" ); document.write( "2x+y=7
\n" ); document.write( "y= -2x+7
\n" ); document.write( "From the above, we now see that the slope is -2.
\n" ); document.write( ".
\n" ); document.write( "For TWO lines to be perpendicular, the slope of the perpendicular line is the \"negative reciprocal\" of the slope of the original line.
\n" ); document.write( "Let m = our new slope
\n" ); document.write( "then
\n" ); document.write( "m(-2) = -1
\n" ); document.write( "m = -1/(-2)
\n" ); document.write( "m = 1/2
\n" ); document.write( "This slope (1/2) along with the given point (4,4) can be plugged into the \"point-slope\" form and solved:
\n" ); document.write( ".
\n" ); document.write( "y - y1 = m(x-x1)
\n" ); document.write( "y - 4 = (1/2)(x-4)
\n" ); document.write( "2y - 8 = x-4
\n" ); document.write( "2y = x+4
\n" ); document.write( "y = (1/2)x + 2 (this is what they're looking for)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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