Find the distance between the pair of points. 
left parenthesis negative 7 comma four elevenths right parenthesis−7,
4
11 and left parenthesis 7 comma four elevenths right parenthesis7,
4
11
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Part 1
The distance between the pair of points is enter your response here.


To find the distance between the points \((-7, \frac{4}{11})\) and \( (7, \frac{4}{11})\), we use the distance formula:

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

Here, \((x_1, y_1) = (-7, \frac{4}{11})\) and \((x_2, y_2) = (7, \frac{4}{11})\).

Substitute the values into the distance formula:

\[
d = \sqrt{(7 - (-7))^2 + \left(\frac{4}{11} - \frac{4}{11}\right)^2}
\]

Simplifying:

\[
d = \sqrt{(7 + 7)^2 + (0)^2} = \sqrt{14^2} = \sqrt{196} = 14
\]

Thus, the distance between the pair of points is **14 units**.

Do you want further clarification on this? Here are 5 related questions:

1. What is the distance formula used for two points in 3D space?
2. How do you calculate the midpoint between two points?
3. What is the general form of the distance formula for non-horizontal/vertical lines?
4. How do you find the distance between points in polar coordinates?
5. How can we use the distance formula in real-world applications?

**Tip:** Always ensure to carefully square the differences in both the x and y coordinates before adding.

Find the distance between the pair of points (-7, 4/11) and (7, 4/11).

Learn how to calculate the distance between two points (-7, 4/11) and (7, 4/11) using the distance formula. This detailed guide covers key concepts in coordinate geometry and applies the Pythagorean Theorem. Suitable for students in Grades 8-10.

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