What is the slope of the line that passes through the points left parenthesis, 1, comma, minus, 7, right parenthesis(1,−7) and left parenthesis, minus, 2, comma, minus, 7, right parenthesis(−2,−7)? Write your answer in *simplest form*.

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

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

For the given points \((1, -7)\) and \((-2, -7)\), let's substitute the values:

- \(x_1 = 1\)
- \(y_1 = -7\)
- \(x_2 = -2\)
- \(y_2 = -7\)

Now substitute into the formula:

\[
m = \frac{-7 - (-7)}{-2 - 1} = \frac{0}{-3} = 0
\]

Thus, the slope of the line is:

\[
m = 0
\]

This means the line is horizontal.

Would you like more details or have any questions?

Here are some related questions to explore:
1. What does a slope of zero represent in a graph?
2. How would the slope change if the points had different \(y\)-coordinates?
3. What is the equation of the line that passes through these points?
4. How do you find the slope of a vertical line?
5. Can two points on a line have the same \(x\)-coordinate but different \(y\)-coordinates?

**Tip:** A slope of zero means the line is horizontal and has the same \(y\)-value for all points.

What is the slope of the line that passes through the points (1,−7) and (−2,−7)? Write your answer in simplest form.

Learn how to find the slope of the line passing through the points (1,−7) and (−2,−7) with a detailed step-by-step solution. This problem involves using the slope formula and covers essential concepts in coordinate geometry. Suitable for students in Grades 6-8.

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