Point E is located at (-2,2) and point F is located at (4, -6). What is the distance between E and F?
To find the distance between two points, we can use the distance formula. The distance formula is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Here, (x1, y1) represents the coordinates of point E, and (x2, y2) represents the coordinates of point F.
Substituting the given values into the formula, we get:
Distance = √((4 - (-2))^2 + (-6 - 2)^2)
= √((4 + 2)^2 + (-6 - 2)^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √100
= 10
Therefore, the distance between point E and point F is 10 units.
To find the distance between points E and F, you can use the distance formula in coordinate geometry. The distance formula states that the distance between two points (x₁, y₁) and (x₂, y₂) in a coordinate plane is given by the formula:
distance = sqrt((x₂ - x₁)² + (y₂ - y₁)²)
Now let's substitute the values of point E and F into the formula:
x₁ = -2, y₁ = 2 (coordinates of point E)
x₂ = 4, y₂ = -6 (coordinates of point F)
distance = sqrt((4 - (-2))² + (-6 - 2)²)
= sqrt((6)² + (-8)²)
= sqrt(36 + 64)
= sqrt(100)
= 10
Therefore, the distance between points E and F is 10 units.
Use distance formula:
sqrt[(x1-x2)^2 + (y1-y2)^2]
x1,y1 = (-2,2)
x2,y2 = (4,-6)
Substitute all values inside. The final answer is an even integer. Work it out! :)