Find the slope of the line passing through the points  (-7,2) and (9,6)

To find the slope \( m \) of the line passing through the points \((-7, 2)\) and \( (9, 6) \), we use the slope formula:

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

Here, \( (x_1, y_1) = (-7, 2) \) and \( (x_2, y_2) = (9, 6) \). Plugging in the values:

\[
m = \frac{6 - 2}{9 - (-7)} = \frac{4}{9 + 7} = \frac{4}{16} = \frac{1}{4}
\]

So, the slope of the line is \( \frac{1}{4} \).

Would you like details on how this formula works, or do you have any other questions?

Here are 8 related questions for further exploration:

1. What is the equation of the line passing through the same two points?
2. How do you find the slope if given points in a three-dimensional space?
3. What does the slope of a line represent geometrically?
4. Can a line have a slope of zero? What would that look like?
5. How do you find the slope of a line that is vertical?
6. What is the difference between positive and negative slopes?
7. How would you find the slope of a line parallel to the line through the given points?
8. How can you find the slope of a line if you only know its equation?

**Tip:** Remember, the slope of a line indicates how steep the line is. The larger the slope, the steeper the line.

Learn how to find the slope of a line passing through the points (-7, 2) and (9, 6) using the slope formula. Understand the step-by-step process with examples and practice questions. Suitable for students in Grades 7-9 studying coordinate geometry.

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