document.write( "Question 429496: find the value of k so that the graph of 2x+3y=10 is perpendicular to the graph of 3x+ky=8 \n" ); document.write( "

Algebra.Com's Answer #298319 by poliphob3.14(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solution:Rewrite the equations in the slope-intercept form:\r
\n" ); document.write( "\n" ); document.write( " $\"y=%28-2%2F3%29x%2B10%2F3\"$ , and\r
\n" ); document.write( "\n" ); document.write( " $\"y=%28-3%2Fk%29x%2B8\"$ , Since lines are perpendicular the product of their slopes is -1\r
\n" ); document.write( "\n" ); document.write( " $\"%28-2%2F3%29%2A%28-3%2Fk%29=-1%2C+solve+this+equation%3A%0D%0A%0D%0A%7B%7B%7B2%2Fk=-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"k=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "Done. \n" ); document.write( "

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