What is the distance between the following points?
(-6, 4) (-5, -4)
To find the distance between two points, we can use the distance formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
In this case, the coordinates of the first point are (-6, 4) and the coordinates of the second point are (-5, -4).
Let's calculate the distance between these two points.
Distance = √[(-5 - (-6))² + (-4 - 4)²]
= √[(1)² + (-8)²]
= √[1 + 64]
= √65
Therefore, the distance between the points (-6, 4) and (-5, -4) is √65 or approximately 8.06.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's apply this formula to find the distance between (-6, 4) and (-5, -4):
x1 = -6
y1 = 4
x2 = -5
y2 = -4
distance = sqrt((-5 - (-6))^2 + (-4 - 4)^2)
= sqrt((-5 + 6)^2 + (-4 - 4)^2)
= sqrt((1)^2 + (-8)^2)
= sqrt(1 + 64)
= sqrt(65)
Therefore, the distance between (-6, 4) and (-5, -4) is sqrt(65) units.
To find the distance between two points, you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's use this formula to find the distance between (-6, 4) and (-5, -4).
x1 = -6
y1 = 4
x2 = -5
y2 = -4
Now, substitute these values into the formula:
d = √((-5 - (-6))^2 + (-4 - 4)^2)
= √((-5 + 6)^2 + (-4 - 4)^2)
= √(1^2 + (-8)^2)
= √(1 + 64)
= √65
Therefore, the distance between the two points is √65, or approximately 8.06.