Find the distance between the points (3, 8) and (-1, 9).

The distance can be easily calculated with the help of the distance formula.

Answer: The distance between the points, (3, 9) and (-1, 9) is √(17).

Let's go through the steps involved in solving this problem.

Explanation:

To find the distance between (3, 8) and (-1, 9)

Distance Formula = √ [(y\(_2\)- y\(_1\))² + (x\(_2\) - x\(_1\))²] , {where (x\(_1\), y\(_1\)) and (x\(_2\), y\(_2\)) are the 2 end points of the line whose distance is being calculated.}

Applying the above-mentioned distance formula for points (3, 8) and (-1, 9), we get:

Distance = √ [(9 - 8)² + (-1 - 3)²]

= √ [(1)² + (-4)²]

= √ [1 + 16]

= √17

Thus, the distance between the points, (3, 9) and (-1, 9) is √(17).