Find the slope of the given line, if it is defined. (If an answer is undefined, enter UNDEFINED.)
8x + 7 = 0
m =

To find the slope of the line, let's first rewrite the given equation in the slope-intercept form \( y = mx + b \), where \( m \) is the slope.

The given equation is:

\[
8x + 7 = 0
\]

First, solve for \( x \):

\[
8x = -7
\]

\[
x = -\frac{7}{8}
\]

This is a vertical line because it is in the form \( x = \text{constant} \), which means the line is parallel to the y-axis.

### Vertical lines have an undefined slope.

Thus, the slope \( m \) is:

\[
\boxed{\text{UNDEFINED}}
\]

Would you like further details or have any questions?

Here are some related questions for practice:
1. What is the slope of the line \( y = 5x - 3 \)?
2. How do you find the slope of a horizontal line?
3. If \( 2x + 3y = 6 \), what is the slope of this line?
4. Can a line have a slope of zero? Why or why not?
5. What does the slope of a line tell us about its angle with the x-axis?

**Tip**: The slope of a vertical line is always undefined, while the slope of a horizontal line is always 0.

Find the slope of the given line, if it is defined. (If an answer is undefined, enter UNDEFINED.) 8x + 7 = 0 m =

Learn how to find the slope of the vertical line 8x + 7 = 0. Understand the properties of vertical lines, why they have undefined slopes, and review key algebraic concepts. Suitable for students in Grades 8-10.

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