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Use the Midpoint Formula and the Distance Formula.
Midpoint Coordinates: M(-5/2,1/2)
Distance: sqrt(58)≈7.6
We are asked to calculate the midpoint of two points and the distance between them. Let's do each step separately.
To find the midpoint, we can use the Midpoint Formula.
(x_1+x_2/2,y_1+y_2/2)
Substitute ( -6,-1) & ( 1,2)
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Put minus sign in front of fraction
The midpoint is located at (- 52, 12). We can see that on the graph.
To determine the distance between two points, we can use the Distance Formula. Recall that the coordinates of the given points are P(-6,-1) and Q(1,2).
Substitute ( -6,-1) & ( 1,2)
a-(- b)=a+b
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Calculate power
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The distance between P and Q is sqrt(58). We can use a calculator to approximate its value. sqrt(58) ≈ 7.6