Question

Find the length between each pair of points (-1, 6) (7, 2).

A. √34
B. √40
C. √20​
D. √18​

Answer 1

√((7 - (-1))² + (2 - 6)²) = √(8² + (-4)²)

= √(64 + 16) = √80 = 4√5

None of those choices are correct.

Answer 2

The length between the points (-1, 6) and (7, 2) is √80 or 4√5.

Step-by-step explanation:

To find the length between two points, we can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Here, (-1, 6) represents the coordinates (x1, y1) and (7, 2) represents the coordinates (x2, y2). Plugging in these values, we get:

d = √((-1 - 7)^2 + (6 - 2)^2) = √((-8)^2 + (4)^2) = √(64 + 16) = √80 = √(16 * 5) = 4√5

Therefore, the length between the given pair of points is √80 or 4√5.