The distance between the points (-4, 5) and (3, 5) is 7, computed using the distance formula. Hence option C is the right choice.
What is the distance formula?
In coordinate geometry, the distance between two points (x₁, y₁) and (x₂, y₂) is calculated using the distance formula,
d = √((x₂ - x₁)² + (y₂ - y₁)²),
where d is the distance between the points (x₁, y₁) and (x₂, y₂).
How to solve the question?
In the question, we are asked to find the distance between the points (-4, 5) and (3, 5).
We know that, in coordinate geometry, the distance between two points (x₁, y₁) and (x₂, y₂) is calculated using the distance formula,
d = √((x₂ - x₁)² + (y₂ - y₁)²),
where d is the distance between the points (x₁, y₁) and (x₂, y₂).
Thus, substituting x₁ = -4, y₁ = 5, x₂ = 3, and y₂ = 5, in the above distance formula, we get:
d = √((3 - (-4))² + (5 - 5)²),
or, d = √((3 + 4)² + 0²),
or, d = √((7² + 0²),
or, d = √(7²),
or, d = 7 {Since, √(a²) = a}.
Thus, the distance between the points (-4, 5) and (3, 5) is 7, computed using the distance formula. Hence option C is the right choice.
Learn more about the distance formula at
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