document.write( "Question 470614: find the distance of the point (2,5) from the line 3x+y+4=0 measured parallel to a line having slope 3/4? \n" ); document.write( "

Algebra.Com's Answer #322804 by Alan3354(69443) $\"\"$ $\"About$

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find the distance of the point (2,5) from the line 3x+y+4=0 measured parallel to a line having slope 3/4?
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\n" ); document.write( "1st find the equation of the line thru (2,5) with a slope of 3/4
\n" ); document.write( "Use y = mx + b and the point
\n" ); document.write( "5 = (3/4)*2 + b
\n" ); document.write( "b = 7/2
\n" ); document.write( "--> y = (3/4)x + 7/2
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\n" ); document.write( "Then find the point of intersection of the 2 lines.
\n" ); document.write( "3x + y + 4 = 0
\n" ); document.write( "y = (3/4)x + 7/2
\n" ); document.write( "Sub for y in the 1st eqn
\n" ); document.write( "3x + 3x/4 + 7/2 + 4 = 0
\n" ); document.write( "x = -2, y = 2
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\n" ); document.write( "Find the distance from (2,5) to (-2,2)
\n" ); document.write( " $\"d%5E2+=+3%5E2+%2B+4%5E2+=+25\"$
\n" ); document.write( "d = 5 \n" ); document.write( "

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