Which of the following statements about the graph of y equals three fourths x minus 1

To analyze the given linear equation \( y = \frac{3}{4}x - 1 \), we can identify the slope and y-intercept directly from the equation, which is in slope-intercept form (\( y = mx + b \)).

1. **Slope (m)**: The coefficient of \( x \) is the slope. In this case, the slope is \( \frac{3}{4} \).
2. **Y-intercept (b)**: The constant term is the y-intercept. Here, the y-intercept is \( -1 \).

Now, let's evaluate each statement:

A. **The y-intercept is three fourths.**
- **False**; the y-intercept is actually \(-1\) not \(\frac{3}{4}\).

B. **The line passes through the point (0, -3/4).**
- **False**; when \( x = 0 \), \( y = -1 \), so the point is \( (0, -1) \).

C. **The slope of the line is three fourths.**
- **True**; as previously identified, the slope is \(\frac{3}{4}\).

D. **The slope of the line is minus 1.**
- **False**; the slope is \(\frac{3}{4}\), not \(-1\).

E. **The line passes through the point (0, 1).**
- **False**; when \( x = 0 \), \( y = -1\), not \(1\).

F. **The y-intercept is minus 1.**
- **True**; the y-intercept is indeed \(-1\).

Thus, the true statements are:

- C. The slope of the line is three fourths.
- F. The y-intercept is minus 1.