Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.)
(−5, −5) and (7, −7)

To find the slope of the line that passes through the given points \((-5, -5)\) and \((7, -7)\), we can use the slope formula:

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

Here, \((x_1, y_1) = (-5, -5)\) and \((x_2, y_2) = (7, -7)\).

Substitute the coordinates into the formula:

\[
m = \frac{-7 - (-5)}{7 - (-5)} = \frac{-7 + 5}{7 + 5} = \frac{-2}{12} = \frac{-1}{6}
\]

So, the slope of the line is \(\boxed{-\frac{1}{6}}\).

Would you like more details on this process, or do you have any questions?

Here are five related questions to explore:

1. How do you find the slope of a vertical line?
2. What is the slope-intercept form of a linear equation?
3. How do you interpret the slope in the context of real-world problems?
4. What happens to the slope if the two points are reversed?
5. How do you find the equation of a line given two points?

**Tip:** When finding the slope, carefully handle the signs to avoid calculation errors.

Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (−5, −5) and (7, −7)

Learn how to find the slope of a line passing through the points (-5, -5) and (7, -7) using the slope formula. This step-by-step solution is ideal for students in Grades 8-10 studying algebra and coordinate geometry.

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