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Recall the Midpoint and the Distance Formulas.
Midpoint: M(-1,7)
AB≈ 12.6 units
Let's find the coordinates of the midpoint and the distance one at a time.
To find the midpoint M, we can use the Midpoint Formula.
M(x_1+x_2/2,y_1+y_2/2)
Substitute ( -7,5) & ( 5,9)
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Calculate quotient
The midpoint is located at (-1,7).
To find the distance between the points, we can use the Distance Formula. d=sqrt(( x_2-x_1)^2+( y_2-y_1)^2) Let's substitute the given endpoints, A( -7,5) and B( 5,9), into this formula and simplify.
Substitute ( -7,5) & ( 5,9)
a-(- b)=a+b
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The distance between A and B is sqrt(160), which is approximately 12.6 units.