document.write( "Question 264535: the line y=2x-8 meets the coordinate axes at A and B. the line AB is a diameter of the circle. find the equation of the line. please may you explain how you get to the answer aswell, thankyou! \n" ); document.write( "
Algebra.Com's Answer #194745 by Alan3354(69443)\"\" \"About 
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the line y=2x-8 meets the coordinate axes at A and B. the line AB is a diameter of the circle. find the equation of the line.
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\n" ); document.write( "\n" ); document.write( "The line crosses the x-axis at y= 0, --> (4,0).
\n" ); document.write( "The line crosses the y-axis at x-0, --> (0,-8)
\n" ); document.write( "Those are the 2 points.
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\n" ); document.write( "The midpoint is the center of the circle.
\n" ); document.write( "To find the midpoint, get the average of x and y separately.
\n" ); document.write( "x: (0+4)/2 = 2
\n" ); document.write( "y: (0-8)/2 = -4
\n" ); document.write( "--> M (2,-4)
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\n" ); document.write( "The distance from M to A or B is the radius.
\n" ); document.write( "\"r%5E2+=+diffy%5E2+%2B+diffx%5E2\"
\n" ); document.write( "\"r%5E2+=+2%5E2+%2B+4%5E2+=+20\"
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\n" ); document.write( "--> \"%28x-2%29%5E2+%2B+%28y%2B4%29%5E2+=+20\"\r
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