To calculate the slope between two points, \((-5, 4)\) and \((-3, 3)\), we use the slope formula:

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

Here, the coordinates are:
- \((x_1, y_1) = (-5, 4)\)
- \((x_2, y_2) = (-3, 3)\)

Substitute these values into the formula:

\[
m = \frac{{3 - 4}}{{-3 - (-5)}} = \frac{{-1}}{{-3 + 5}} = \frac{{-1}}{{2}} = -\frac{1}{2}
\]

So, the slope \(m\) is \(-\frac{1}{2}\).

Would you like further details or have any questions? Here are some related questions to explore:

1. How do you interpret a negative slope on a graph?
2. What is the slope of a vertical or horizontal line?
3. How do you calculate the slope given an equation in slope-intercept form?
4. Can you determine the equation of the line passing through \((-5, 4)\) and \((-3, 3)\)?
5. How does the slope between two points change if the points move vertically?

**Tip**: A slope of \(-\frac{1}{2}\) means that for every 2 units you move to the right, the line moves down by 1 unit.

Learn how to calculate the slope between the points (-5, 4) and (-3, 3) using the slope formula. This step-by-step solution walks through finding the slope as -1/2, covering key concepts in coordinate geometry. Perfect for students in Grades 6-8.

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