find the slope of the line that passes through each pair of points (-12,15),(18,-3)

To find the slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula:

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

Given the points \((-12, 15)\) and \((18, -3)\):

\[
m = \frac{-3 - 15}{18 - (-12)} = \frac{-3 - 15}{18 + 12} = \frac{-18}{30} = -\frac{3}{5}
\]

Thus, the slope of the line is \(-\frac{3}{5}\).

Would you like more details on how to interpret this result or have any further questions?

### Related Questions:
1. What does a negative slope indicate about the direction of a line?
2. How do you find the equation of a line given its slope and one point?
3. Can you find the slope of a horizontal or vertical line?
4. How do you determine if two lines are parallel or perpendicular based on their slopes?
5. What is the relationship between the slope of a line and its steepness?

### Tip:
A line with a negative slope slants downward from left to right, while a positive slope slants upward.

Learn how to find the slope of the line passing through the points (-12, 15) and (18, -3) using the slope formula. This problem covers key algebraic and coordinate geometry concepts, suitable for students in Grades 8-10.

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