document.write( "Question 859827: find the distance from (-6,-5) to the line defined by y = -2x - 2. Express as a radical or number rounded to the nearest hundredth, is the question. can you tell me how to work this out to get the right answer and help me solve it asap please and thank you. \n" ); document.write( "
Algebra.Com's Answer #517985 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The question would be the same as, find the equation of the line perpendicular to \"y=-2x-2\" and containing the point (-6,-5); where do these lines intersect; and then use distance formula to find the distance from the intersection point to (-6,-5).\r
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\n" ); document.write( "\n" ); document.write( "\"y=%281%2F2%29x%2Bb\" contains (-6,-5).
\n" ); document.write( "\"b=y-%281%2F2%29x\"
\n" ); document.write( "\"b=-6-%281%2F2%29%28-5%29\"
\n" ); document.write( "\"b=-6%2B5%2F2\"
\n" ); document.write( "\"b=-12%2F2%2B5%2F2\"
\n" ); document.write( "\"b=-7%2F2\"
\n" ); document.write( "\"y=%281%2F2%29x-7%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "What is the intersection point of y=-2x-2 and y=(1/2)x-7/2 ?
\n" ); document.write( "\"-2x-2=%281%2F2%29x-7%2F2\"
\n" ); document.write( "\"-4x-4=x-7\"
\n" ); document.write( "\"-5x-4=-7\"
\n" ); document.write( "\"-5x=4-7=3\"
\n" ); document.write( "\"x=-3%2F5\"
\n" ); document.write( "-
\n" ); document.write( "\"y=-2%28-3%2F5%29-2=6%2F5-2\"
\n" ); document.write( "\"y=6%2F5-10%2F5\"
\n" ); document.write( "\"y=-4%2F5\"
\n" ); document.write( "-
\n" ); document.write( "Intersection point is (-3/5, -4/5).\r
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\n" ); document.write( "\n" ); document.write( "Distance from (-6,-5) to y=-2x-2 is:
\n" ); document.write( "\"highlight%28sqrt%28%28-6-%28-3%2F5%29%29%5E2%2B%28-5-%28-4%2F5%29%29%5E2%29%29\"
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