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Recall the Midpoint and the Distance Formulas.
Midpoint: M(6,3)
AB≈ 11.3 units
Let's find the coordinates of the midpoint and the distance one at a time.
To find the midpoint, we can use the Midpoint Formula.
M(x_1+x_2/2,y_1+y_2/2)
Substitute ( 2,-1) & ( 10,7)
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Calculate quotient
The midpoint is located at (6,3).
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(2,-1) and B(10,7), into this formula and simplify.
Substitute ( 2,-1) & ( 10,7)
a-(- b)=a+b
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Calculate power
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The distance between A and B is sqrt(128), which is approximately 11.3 units.