document.write( "Question 207179This question is from textbook Georgia High School Mathematics
\n" ); document.write( ": Find the value of x or y so that the line passing through the two points has the given slope.\r
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\n" ); document.write( "\n" ); document.write( "(-2,8),(x,4); m=4/5\r
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\n" ); document.write( "\n" ); document.write( "Please help me out, I just cannot seem figure out how to solve this\r
\n" ); document.write( "\n" ); document.write( "Any help would be appreciated
\n" ); document.write( "thank you very much
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Algebra.Com's Answer #156626 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
First, recall the formula for the slope, m, of a line when you are given two points on that line:
\n" ); document.write( "\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"
\n" ); document.write( "The two given points are: (-2,8) and (x,4) and these are the (\"x%5B1%5D\",\"y%5B1%5D\") and (\"x%5B2%5D\",\"y%5B2%5D\") so that:
\n" ); document.write( "\"x%5B1%5D+=+-2\", \"y%5B1%5D+=+8\", \"x%5B2%5D+=+x\", and \"y%5B2%5D+=+4\", and \"m+=+4%2F5\" is given.
\n" ); document.write( "Make the the appropriate substitutions into the formula for the slope:
\n" ); document.write( "\"4%2F5+=+%284-8%29%2F%28x-%28-2%29%29\" Simplify.
\n" ); document.write( "\"4%2F5+=+%28-4%29%2F%28x%2B2%29\" Multiply both sides by \"5%2F4\".
\n" ); document.write( "\"1+=+-5%2F%28x%2B2%29\" Multiply both sides by (x+2)
\n" ); document.write( "\"x%2B2+=+-5\" Subtract 2 from both sides.
\n" ); document.write( "\"highlight%28x+=+-7%29\"
\n" ); document.write( "Check:
\n" ); document.write( "\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"
\n" ); document.write( "\"m+=+%284-8%29%2F%28-7-%28-2%29%29\"
\n" ); document.write( "\"m+=+%28-4%29%2F%28-5%29\"
\n" ); document.write( "\"m+=+4%2F5\"
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