What is the slope of the line that passes through the points left parenthesis, 8, comma, 2, right parenthesis(8,2) and left parenthesis, 10, comma, 2, right parenthesis(10,2)? Write your answer in simplest form.


To find the slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

In this case, the points are \((8, 2)\) and \((10, 2)\). Substituting these values into the formula:

\[
\text{slope} = \frac{2 - 2}{10 - 8} = \frac{0}{2} = 0
\]

Therefore, the slope of the line is \(0\).

This means the line is horizontal.

Would you like any further explanation or details?

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Here are 5 related questions to expand on this concept:

1. What is the slope of a vertical line?
2. How do you find the equation of a line given two points?
3. What does a slope of 0 represent in real-world scenarios?
4. Can two points define more than one line? Why or why not?
5. How does the slope of a line affect its graph?

**Tip:** A horizontal line always has a slope of 0 because the \(y\)-values of any two points on the line are the same.

What is the slope of the line that passes through the points (8,2) and (10,2)? Write your answer in simplest form.

Learn how to calculate the slope of a line passing through the points (8,2) and (10,2). This problem explores key concepts of coordinate geometry and the slope formula, showing that a horizontal line has a slope of 0. Suitable for students in Grades 6-8.

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