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Use the Midpoint Formula and the Distance Formula.
Midpoint Coordinates: M(3,0)
Distance: 2sqrt(10)≈ 6.3
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 ( 4,3) & ( 2,-3)
a+(- b)=a-b
Add and subtract terms
Calculate quotient
The midpoint is located at (3,0). 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 J(4,3) and K(2,-3).
Substitute ( 4,3) & ( 2,-3)
Subtract terms
Calculate power
Add terms
Split into factors
sqrt(a* b)=sqrt(a)*sqrt(b)
Calculate root
The distance between J and K is 2sqrt(10). We can use a calculator to approximate its value. 2sqrt(10) ≈ 6.3