
Find the distance between the points. (1, 1), (9, 7)

To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the distance formula:

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

Substituting the given points \((1, 1)\) and \((9, 7)\):

\[
d = \sqrt{(9 - 1)^2 + (7 - 1)^2}
\]

\[
d = \sqrt{(8)^2 + (6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10
\]

So, the distance between the points is \(10\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you find the distance between points in 3D space?
2. What is the midpoint between the points \((1, 1)\) and \((9, 7)\)?
3. How does the distance formula relate to the Pythagorean theorem?
4. What is the general formula for distance between two points on a coordinate plane?
5. Can the distance between two points ever be negative?

**Tip:** Always square the differences between coordinates first, then add them before taking the square root.

Find the distance between the points. (1, 1), (9, 7)

Learn how to find the distance between the points (1, 1) and (9, 7) using the distance formula. This solution walks through each step with key concepts in coordinate geometry and the Pythagorean theorem, suitable for students in Grades 7-9.

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