slope of the line that passes between these two points (3,8) and (2,10)

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:

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

Substituting the given points \((3, 8)\) and \((2, 10)\) into the formula:

\[
m = \frac{10 - 8}{2 - 3} = \frac{2}{-1} = -2
\]

So, the slope of the line is \(-2\).

Would you like any further details or have any questions?

Here are five related questions you might find interesting:
1. How would you find the equation of the line passing through these two points?
2. What is the slope of a line parallel to this one?
3. How do you find the slope of a line given its equation?
4. How does the slope affect the steepness of a line?
5. What would the slope be if the two points were reversed?

**Tip:** Remember, the slope of a line indicates how steep the line is. A negative slope means the line goes downwards from left to right.

Learn how to calculate the slope of a line passing through points (3, 8) and (2, 10) with a step-by-step explanation. This problem involves using the slope formula to find the steepness of the line. Suitable for students in Grades 7-9.

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