document.write( "Question 688021: Find the slope and y-intercept of the line that is perpendicular to y=3x−4 and passes through the point (6,−7) . \n" ); document.write( "

Algebra.Com's Answer #425475 by josmiceli(19441) $\"\"$ $\"About$

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The slope of the line $\"+y+=+3x+-+4+\"$ is $\"+3+\"$
\n" ); document.write( "The slope of any line which is perpendicular to
\n" ); document.write( "this line is $\"+m%5B2%5D+=+-1%2Fm%5B1%5D+\"$
\n" ); document.write( " $\"+m%5B2%5D+=+-1%2F3+\"$
\n" ); document.write( "You can use the general point-slope formula
\n" ); document.write( " $\"+%28+y+-%28-7%29+%29+%2F+%28+x+-+6+%29+=+-1%2F3+\"$
\n" ); document.write( " $\"+%28+y+%2B+7+%29+%2F+%28+x+-+6+%29+=+-1%2F3+\"$
\n" ); document.write( " $\"+3%2A%28+y+%2B+7+%29+=+-%28+x+-+6+%29+\"$
\n" ); document.write( " $\"+3y+%2B+21+=+-x+%2B+6+\"$
\n" ); document.write( " $\"+3y+=+-x+-+15+\"$
\n" ); document.write( " $\"+y+=+%28+-1%2F3+%29%2Ax+-+5+\"$
\n" ); document.write( "The slope is -1/3
\n" ); document.write( "The y-intercept is -5
\n" ); document.write( "-------------------
\n" ); document.write( "here's a plot of the 2 lines:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-7%2C+4%2C+3x+-+4%2C+%28-1%2F3%29%2Ax+-+5+%29+\"$
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