To find the slope of the line given by the equation \( y = -4x - \frac{7}{4} \), we can compare it with the slope-intercept form of a linear equation, which is:

\[
y = mx + b
\]

Here, \( m \) represents the slope of the line, and \( b \) is the y-intercept.

In the equation \( y = -4x - \frac{7}{4} \):

- The coefficient of \( x \) is \( -4 \), which means the slope \( m \) is \( -4 \).

So, the slope of the line is \( \boxed{-4} \).

Would you like more details or have any questions?

Here are five related questions to expand your understanding:

1. How do you find the y-intercept from the equation \( y = -4x - \frac{7}{4} \)?
2. What is the slope of the line \( y = 3x + 2 \)?
3. If two lines have the same slope, what can you say about their relationship?
4. How would the slope change if the equation was \( y = 4x - \frac{7}{4} \)?
5. What is the slope of a line parallel to \( y = -4x - \frac{7}{4} \)?

**Tip:** The slope is a measure of the steepness of a line. A negative slope indicates the line is decreasing, while a positive slope indicates the line is increasing.

Discover how to find the slope of the line given by the equation y = -4x - 7/4 using the slope-intercept form. This problem is ideal for students in Grades 6-8 and focuses on core algebraic concepts.

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