Find the slope of the line containing the two points. (If an answer is undefined, enter UNDEFINED.)
(−6, 3), (5, 4)

To find the slope \( m \) of the line containing the points \((x_1, y_1) = (-6, 3)\) and \((x_2, y_2) = (5, 4)\), we use the slope formula:

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

Substituting the coordinates:

\[
m = \frac{4 - 3}{5 - (-6)}
\]

\[
m = \frac{1}{5 + 6}
\]

\[
m = \frac{1}{11}
\]

So, the slope of the line is:

\[
m = \frac{1}{11}
\]

### Answer:
\[
\frac{1}{11}
\]

Would you like further explanation or have any other questions?

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Here are some related questions:
1. How do you determine if a slope is positive or negative based on two points?
2. What does it mean when a slope is "undefined"?
3. How would you find the slope if both points were the same?
4. How do you find the slope between points with coordinates that are fractions?
5. How would you find the slope of a line parallel to this one?

**Tip:** If the \( x \)-coordinates of two points are the same, the line is vertical, and the slope is undefined.

Find the slope of the line containing the two points. (If an answer is undefined, enter UNDEFINED.) (−6, 3), (5, 4)

Discover how to calculate the slope of a line through points (−6, 3) and (5, 4) using the slope formula. This tutorial explains key concepts in coordinate geometry and is ideal for students in Grades 6-8.

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