SOLUTION: Find the length of the segment. Round to the nearest tenth of a unit. J(-2,4) K(1,3)

Question 775945: Find the length of the segment. Round to the nearest tenth of a unit.
J(-2,4) K(1,3)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Finding the length of the segment JK is the same as finding the distance from J to K.

Solved by pluggable solver: Distance Formula

The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (-2, 4), we can say (x1, y1) = (-2, 4)
So ,

Since the second point is (1, 3), we can also say (x2, y2) = (1, 3)
So ,

Put this all together to get: , , , and

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Now use the distance formula to find the distance between the two points (-2, 4) and (1, 3)

Plug in , , , and

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Answer:

The distance between the two points (-2, 4) and (1, 3) is exactly units

The approximate distance between the two points is about 3.16227766016838 units

So again,

Exact Distance: units

Approximate Distance: units

This means,

segment JK is exactly units long

segment JK is approximately units long

Round this to the nearest tenth to get the final answer of 3.2
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