find the distance between the pair points (-2, -3) and (-12,-19)
√((-12+2)^2+(-19+3)^2)
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula to find the distance between two points is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where:
- (x1, y1) and (x2, y2) are the coordinates of the two points,
- d is the distance between the two points.
Let's use this formula to find the distance between the points (-2, -3) and (-12, -19).
In this case, we have:
- Point 1: (x1, y1) = (-2, -3)
- Point 2: (x2, y2) = (-12, -19)
Now, substitute the coordinates into the distance formula:
d = sqrt((-12 - (-2))^2 + (-19 - (-3))^2)
Simplifying the equation,
d = sqrt((-12 + 2)^2 + (-19 + 3)^2)
= sqrt((-10)^2 + (-16)^2)
= sqrt(100 + 256)
= sqrt(356)
Calculating the square root of 356 is approximately 18.87.
Therefore, the distance between the points (-2, -3) and (-12, -19) is approximately 18.87 units.