What is the distance between
(-6, 8) and (-3, 9)?
The distance between (-6, 8) and (-3, 9) can be found using the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the formula, we have:
d = √((-3 - (-6))^2 + (9 - 8)^2)
= √(3^2 + 1^2)
= √(9 + 1)
= √10
Therefore, the distance between (-6, 8) and (-3, 9) is √10 or approximately 3.16.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula states that the distance between two points with coordinates (x₁, y₁) and (x₂, y₂) can be calculated as follows:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the coordinates of the first point are (-6, 8) and the coordinates of the second point are (-3, 9).
Now, we can substitute these values into the distance formula:
Distance = √((-3 - (-6))² + (9 - 8)²)
Simplifying the equation:
Distance = √((3)² + (1)²)
Distance = √(9 + 1)
Distance = √10
Therefore, the distance between the points (-6, 8) and (-3, 9) is √10 units.
To find the distance between two points in a coordinate plane, we can use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Given the coordinates (-6, 8) and (-3, 9), we can label (x1, y1) = (-6, 8) and (x2, y2) = (-3, 9).
Plugging in the values into the formula, we have:
Distance = √[(-3 - (-6))^2 + (9 - 8)^2]
Distance = √[(-3+6)^2 + (9-8)^2]
Distance = √[3^2 + 1^2]
Distance = √[9 + 1]
Distance = √10
So, the distance between (-6, 8) and (-3, 9) is √10.