Find the slope and y intercept of the line y=7/4x-4

The given equation of the line is:

\[
y = \frac{7}{4}x - 4
\]

This is in slope-intercept form, \( y = mx + b \), where:
- \( m \) is the slope
- \( b \) is the y-intercept

### Slope:
The coefficient of \( x \) is the slope, so:
\[
m = \frac{7}{4}
\]

### Y-intercept:
The constant term is the y-intercept, so:
\[
b = -4
\]

### Final Answer:
- **Slope (m):** \( \frac{7}{4} \)
- **Y-intercept (b):** \( -4 \)

Would you like further details or examples on this?

Here are 5 related questions to consider:
1. What is the equation of a line with a slope of \( \frac{7}{4} \) and y-intercept of \( 5 \)?
2. How would you find the slope of a line if given two points on the line?
3. What is the x-intercept of the line \( y = \frac{7}{4}x - 4 \)?
4. How do you determine if two lines are parallel or perpendicular based on their slopes?
5. How would the graph of \( y = \frac{7}{4}x - 4 \) change if the slope were negative?

**Tip:** In the slope-intercept form, the slope tells you how steep the line is, and the y-intercept is where the line crosses the y-axis.

This problem helps students find the slope and y-intercept of the line y = 7/4x - 4 using the slope-intercept form of a linear equation. Suitable for students in Grades 8-10, this guide covers core algebraic concepts like slope (m) and y-intercept (b).

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