document.write( "Question 1129389: Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1, k+1) and (3,5) \n" ); document.write( "
Algebra.Com's Answer #745961 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1, k+1) and (3,5)
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The other person must be answering a different problem, because all you need to do here is use the slope formula, then set the slopes
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document.write( "equal to each other, which will allow you to determine the value of k.
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document.write( "This person seems to do a TON of UNNECESSARY calculations when these problems are so, so SIMPLE to figure out.
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document.write( "Slope formula: \"matrix%281%2C3%2C+m%2C+%22=%22%2C+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29%29\"
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document.write( "We therefore get:  
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document.write( "3(k - 4) = - 2(2k + 3) ------- Cross-multiplying
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document.write( "3k - 12 = - 4k - 6
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document.write( "3k + 4k = - 6 + 12
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document.write( "7k = 6
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document.write( "\"highlight_green%28matrix%281%2C3%2C+k%2C+%22=%22%2C+6%2F7%29%29\"
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document.write( "THAT\"S ALL!! NOTHING more, NOTHING less!!! \n" );
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