document.write( "Question 621034: Find an equation for the line perpendicular to the line 4x-4y=-9, having the same y-intercept as -7x+2y=-3. \n" ); document.write( "

Algebra.Com's Answer #390536 by matt501823(7) $\"\"$ $\"About$

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If you transpose the equation $\"4x-4y=-9\"$ you get $\"y=x%2B%289%2F4%29\"$ . A perpendicular line to this must have a slope of -x. To derive the required y-intercept for an equation that meets the conditions you must also transpose the equation $\"-7x%2B2y=-3\"$ such that it becomes $\"y=%287%2F2%29x-%283%2F2%29\"$ . Thus, the answer must be $\"y=-x-%283%2F2%29\"$ . \n" ); document.write( "

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