Let's analyze the linear equation $y = \frac{3}{4}x - 6$ and identify the features requested:

1. Slope: The equation is in slope-intercept form $y = mx + b$, where $m$ is the slope. Here, $m = \frac{3}{4}$, so the slope is $\frac{3}{4}$.

2. y-intercept: The y-intercept is the value of $y$ when $x = 0$. From the equation, when $x = 0$, $y = -6$. So, the y-intercept is $-6$.

3. x-intercept: To find the x-intercept, set $y = 0$ and solve for $x$: $0 = \frac{3}{4}x - 6$ $\frac{3}{4}x = 6$ $x = 6 \times \frac{4}{3} = 8$ So, the x-intercept is $8$.

4. Zero of the function: The zero of the function is the same as the x-intercept, which is $8$.

Summary of features:

• Slope: $\frac{3}{4}$
• y-intercept: $-6$
• x-intercept: $8$
• Zero of the function: $8$

Would you like further clarification or a more detailed explanation on any of these points?

Here are 5 related questions to expand your understanding:

1. How do you determine the slope from a linear equation in other forms?
2. What happens to the graph if the y-intercept changes?
3. How can you quickly find the x-intercept using a graph?
4. How does the slope affect the steepness of the line?
5. Can a linear equation have more than one x-intercept?

Tip: Always set $y = 0$ to find the x-intercept and $x = 0$ to find the y-intercept when dealing with linear equations!