document.write( "Question 1205498: Determine the equation of the tangent line to the curve 𝑦 = −𝑥
\n" ); document.write( "2 − 3𝑥 + 4 at 𝑥 = 2. \n" ); document.write( "

Algebra.Com's Answer #842352 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"y=-x%5E2-3x%2B4\"$
\n" ); document.write( " $\"dy%2Fdx=-2x-3\"$

\n" ); document.write( "At x=2...
\n" ); document.write( " $\"y=-4-6%2B4=-6\"$
\n" ); document.write( " $\"dy%2Fdx=-4-3=-7\"$

\n" ); document.write( "The equation of the tangent line to the curve at (2,-6) is

\n" ); document.write( " $\"y=mx%2Bb\"$
\n" ); document.write( " $\"y=-7x%2Bb\"$
\n" ); document.write( " $\"-6=-7%282%29%2Bb\"$
\n" ); document.write( " $\"-6=-14%2Bb\"$
\n" ); document.write( " $\"b=8\"$

\n" ); document.write( " $\"y=-7x%2B8\"$

\n" ); document.write( "ANSWER: y=-7x+8

\n" ); document.write( "A graph, showing a tangent at (2,-6)

\n" ); document.write( " $\"graph%28400%2C400%2C-1%2C3%2C-15%2C1%2C-x%5E2-3x%2B4%2C-7x%2B8%29\"$

\n" ); document.write( " \n" ); document.write( "

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