Question

2 Points

If A = (4,-5) and B = (7,-9), what is the length of AB?
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A. 5 units
B. 8 units
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C. 6 units
D. 7 units

Answer 1

The answer to your question is: letter A. 5 units

Explanation:

Data:

A (4, -5) B(7,-9)

length of AB = ?

Formula

distance = √((x₂ - x₁)² + (y₂ - y₁)²)

x₂ = 7

x₁ = 4

y₂ = -9

y₁ = -5

Substitution

distance = √((7 - 4)² + (-9 +5)²)

distance = √(3² + -4²)

distance = √ 9 + 16

distance = 25

distance = 5 u

Answer 2

5 units

Explanation:

Length AB,

Just apply the formula;

Length between two points =square root of [(difference in x coordinates)^2 + (difference in y coordinates)^2]

Length AB =square root of [(4 - 7)^2 + (-5 - - 9)^2]

Length AB =square root of [ (-3)^2 + (4)^2]

Length AB = square root of (25)

Length AB = 5 units