Find the length of the segment created by the following pairs of endpoints: (0, 1) and (0, 7).
Answer (3)
A = ( 0 ; 1 ) , B = ( 0 ; 7 ) ∣ A B ∣ = ( 7 − 1 ) 2 = 6 2 = 6
The length of the segment with endpoints (0, 1) and (0, 7) is the difference in their y-coordinates, which equals 6 units.
To find the length of the segment that is created by the endpoints (0, 1) and (0, 7), we calculate the distance between these two points using the distance formula. However, since both of these points lie on a vertical line (the x-coordinates are equal), we can simply subtract the y-coordinates to find the length of the segment.
The length of the segment is the difference between the y-coordinates, which is 7 - 1 = 6. Therefore, the length of the segment is 6 units.
The length of the segment created by the points (0, 1) and (0, 7) is 6 units. This distance is calculated using the distance formula for two points in a coordinate plane. Therefore, the length of segment AB is |AB| = 6.
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