The given equation is:

\[
y = 3x + \frac{5}{4}
\]

This is a linear equation of the form \( y = mx + b \), where:
- \( m = 3 \) is the slope of the line, representing the rate of change of \( y \) with respect to \( x \).
- \( b = \frac{5}{4} \) is the y-intercept, which is the value of \( y \) when \( x = 0 \).

To summarize:
- The line has a slope of 3, meaning for every increase of 1 unit in \( x \), \( y \) increases by 3 units.
- The line crosses the y-axis at \( y = \frac{5}{4} \), or 1.25.

Would you like to explore more details about graphing or other aspects of this equation?

Here are 5 questions to expand on this:
1. How do you calculate the slope of a line given two points?
2. What is the significance of the y-intercept in a real-world scenario?
3. How would you solve for \( x \) when \( y \) is given?
4. What happens if you change the slope to a different value in the equation?
5. How does this linear equation compare to a quadratic equation?

**Tip:** In a linear equation like this, increasing the slope makes the line steeper, while a smaller slope flattens it.

Explore the linear equation y = 3x + 5/4 with a detailed breakdown of its slope and y-intercept. Learn how to interpret the slope value of 3 and the y-intercept of 5/4. Suitable for students in Grades 6-8, this guide covers essential concepts in algebra and linear equations.

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