Question

What is the distance between two points(2,-6)(-7,1)

Answer 1

Answer:

Square root of 130

Step-by-step explanation:

Use the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}$

$(x_{1}, y_{1} )$ is your first set of coordinates : (2, -6)

$(x_{2}, y_{2} )$is your second set of coordinates : (-7, 1)

Answer 2

Answer:

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4