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Let's find the **x-intercept** and **y-intercept** of the given linear equation:

\[
y = \frac{3}{4}x - 3
\]

### Finding the x-intercept:
The x-intercept occurs when \( y = 0 \). So, substitute \( y = 0 \) into the equation and solve for \( x \):

\[
0 = \frac{3}{4}x - 3
\]

Now solve for \( x \):

\[
\frac{3}{4}x = 3
\]

Multiply both sides by \( \frac{4}{3} \) to solve for \( x \):

\[
x = 3 \times \frac{4}{3} = 4
\]

So, the x-intercept is at \( (4, 0) \).

### Finding the y-intercept:
The y-intercept occurs when \( x = 0 \). Substitute \( x = 0 \) into the equation:

\[
y = \frac{3}{4}(0) - 3 = -3
\]

So, the y-intercept is at \( (0, -3) \).

### Final Answer:
- **x-intercept**: \( (4, 0) \)
- **y-intercept**: \( (0, -3) \)

Would you like more details on any of these steps?

Here are some related questions:
1. How do you calculate the slope of a line from an equation?
2. What does the slope \( \frac{3}{4} \) represent in this context?
3. How do intercepts help in graphing a line?
4. What is the general form of a linear equation, and how does it relate to this problem?
5. How would the graph change if the equation was \( y = -\frac{3}{4}x + 3 \)?

**Tip:** To quickly find intercepts, set one variable to zero and solve for the other!

Find the x- and y-intercepts of the equation y = (3/4)x - 3.

Learn how to find the x- and y-intercepts of the equation y = (3/4)x - 3 with a detailed step-by-step guide. This algebraic problem is suitable for students in Grades 7-9.

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