document.write( "Question 254318: What is the value of k if the line 2x + 3y = 3 is perpendicular to the line 2x + ky + 1 = 0? \n" ); document.write( "

Algebra.Com's Answer #186669 by drk(1908) $\"\"$ $\"About$

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step 1 - find the slope of
\n" ); document.write( " $\"2x+%2B+3y+=+3\"$
\n" ); document.write( "and solve for y to get
\n" ); document.write( " $\"Y+=+%28-2%2F3%29x+%2B+1\"$
\n" ); document.write( "* slope = (-2/3)
\n" ); document.write( "The perpendicular slope is the negative flip, or (3/2).
\n" ); document.write( "We solve
\n" ); document.write( " $\"2x+%2B+ky+%2B+1++=++0\"$
\n" ); document.write( "for y to get
\n" ); document.write( "y = (-2/k)x - 1/k.
\n" ); document.write( "The slope here is
\n" ); document.write( "-2/k which equals our perpendicular slope. We get
\n" ); document.write( "-2/k = (3/2)
\n" ); document.write( "k = -4/3. \n" ); document.write( "

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