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To find the slope of the line that passes through the points \((10, 4)\) and \((7, 3)\), we can use the slope formula:

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

Where:
- \((x_1, y_1) = (10, 4)\)
- \((x_2, y_2) = (7, 3)\)

Substituting these values into the formula:

\[
m = \frac{3 - 4}{7 - 10} = \frac{-1}{-3} = \frac{1}{3}
\]

So, the slope of the line is:

\[
m = \frac{1}{3}
\]

Would you like more details or have any questions?

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Here are 5 related questions for practice:
1. What is the equation of the line in slope-intercept form given the slope \(\frac{1}{3}\) and passing through \((10, 4)\)?
2. How do you calculate the slope if the points are swapped (i.e., \((7, 3)\) first and \((10, 4)\) second)?
3. Can the slope of a vertical line be determined? If so, what would it be?
4. What would be the slope of a horizontal line that passes through any two points with the same \(y\)-coordinate?
5. How do you find the y-intercept of a line when given the slope and a point on the line?

**Tip**: The slope is a measure of how steep a line is. If the numerator or denominator of the slope is negative, the slope will indicate if the line is rising or falling as you move from left to right.

What is the slope of the line that passes through the points (10, 4) and (7, 3)?

Learn how to find the slope of a line that passes through the points (10, 4) and (7, 3) using the slope formula. This problem covers key algebraic concepts and is suitable for students in Grades 6-8.

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