Determine the slope of the line that passes through the given points (-15, -3) and (-5, -2)

To determine the slope of the line that passes through the points \((-15, -3)\) and \((-5, -2)\), we use the slope formula:

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

where \((x_1, y_1)\) = \((-15, -3)\) and \((x_2, y_2)\) = \((-5, -2)\).

Substitute the values:

\[
m = \frac{-2 - (-3)}{-5 - (-15)} = \frac{-2 + 3}{-5 + 15} = \frac{1}{10}
\]

Thus, the slope of the line is:

\[
m = \frac{1}{10}
\]

Would you like more details or have any questions?

Here are some related questions for practice:
1. Find the slope of a line passing through points \((3, 4)\) and \((7, 10)\).
2. Determine the slope of a line passing through points \((0, 0)\) and \((5, 5)\).
3. Find the equation of a line with slope \(1/10\) passing through the point \((-5, -2)\).
4. Determine if the points \((-5, -2)\) and \((0, 0)\) are collinear.
5. Calculate the slope of a vertical line.

**Tip:** Remember, a vertical line has an undefined slope, while a horizontal line has a slope of 0.

Learn how to calculate the slope of a line passing through the points (-15, -3) and (-5, -2) using the slope formula. This problem is perfect for students in Grades 6-8 and introduces key concepts in algebra and coordinate geometry.

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