Using the slope​ formula, find the slope of the line through the given points.
(7,8) and (5,2)

To find the slope of the line passing through the points \( (7, 8) \) and \( (5, 2) \), we use the slope formula:

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

Here, \( (x_1, y_1) = (7, 8) \) and \( (x_2, y_2) = (5, 2) \).

Substituting the values:

\[
m = \frac{2 - 8}{5 - 7} = \frac{-6}{-2} = 3
\]

So, the slope \( m \) of the line is:

\[
m = 3
\]

Would you like further details, or have any questions?

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1. What is the significance of a positive slope in this context?
2. How would the slope change if one of the points were altered?
3. How can the slope formula be applied to a vertical line?
4. How can we determine if two lines are parallel using their slopes?
5. How do we find the equation of a line given two points?

**Tip:** Remember, if the slope is positive, the line rises as it moves from left to right.

Using the slope formula, find the slope of the line through the given points. (7,8) and (5,2)

Learn how to calculate the slope of a line passing through the points (7, 8) and (5, 2) using the slope formula. This problem demonstrates key concepts in coordinate geometry and is suitable for students in Grades 7-9.

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