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.