document.write( "Question 158629: determine the distance between the two points (3,7) and (-2,-5) \n" ); document.write( "

Algebra.Com's Answer #116848 by gonzo(654) $\"\"$ $\"About$

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distance between 2 points in coordinate geometry is determined by the formula
\n" ); document.write( " $\"z+=+sqrt%28%28x2-x1%29%5E2%2B%28y2-y2%29%5E2%29\"$
\n" ); document.write( "where y is the straight line distance between the 2 points.
\n" ); document.write( "x2-x1 is the horizontal distance between the 2 points along the x-axis.
\n" ); document.write( "y2-y1 is the vertical distance between the 2 points along the y-axis.
\n" ); document.write( "for the points (3,7) and (-2,-5)
\n" ); document.write( "x2-x1 = -2-3 = -5
\n" ); document.write( "y2-y1 becomes -5-7 = -12
\n" ); document.write( " $\"z=sqrt%28-5%5E2%2B-12%5E2%29+=+sqrt%2825%2B144%29+=+sqrt%28169%29+=+13\"$
\n" ); document.write( "z = 13 is your answer.
\n" ); document.write( "a graph of the line z would look like this.
\n" ); document.write( " $\"graph%28600%2C600%2C-4%2C4%2C-6%2C8%2C12%2F5%2Ax%2B.2%2C7%2C-5%29\"$ \n" ); document.write( "

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