Find the distance between the points (2, 8) and (-1, 9).

The approximate value for the distance between the two points is 3.162277663.16227766.

√10≈3.16227766

Use the distance formula to determine the distance between the two points.Distance=√(x2−x1)2+(y2−y1)2Distance=(x2-x1)2+(y2-y1)2
Substitute the actual values of the points into the distance formula.√((−1)−(2))2+((9)−(8))2
Simplify.
Multiply −1-1 by 22 to get −2-2.√(−1−2)2+((9)−(8))2(-1-2)2+((9)-(8))2Subtract 22 from −1-1 to get −3-3.√(−3)2+((9)−(8))2(-3)2+((9)-(8))2Raise −3-3 to the power of 22 to get 99.√9+((9)−(8))29+((9)-(8))2Multiply −1-1 by 88 to get −8-8.√9+(9−8)29+(9-8)2Subtract 88 from 99 to get 11.√9+(1)29+(1)2Remove parentheses around 11.√9+129+12One to any power is one.√9+19+1Add 99 and 11 to get 1010.√10
√10≈ 3.16227766
The distance between the points (2, 8) and (-1, 9) is 3.16227766