The length of the line AB will be equal to 11√2 units.
What is the distance between two points?
The length of the line segment that connects two places is essentially what determines their distance from one another. Most notably, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The distance formula is,
D = √ [ (x₂ - x₁)² + ( y₂ - y₁ ²) ]
The given points are A(-7,5) and B(4,-6). The distance between the points will be calculated as:-
D = √ [ (4 + 7 )² + ( - 6 - 5 )² ]
D = √ ( 121 + 121 )
D = 11√2
Therefore, the length of the line AB will be equal to 11√2 units.
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