Question

The function fix) is shown in this graph.
The function g(x) = -6x + 3.
Compare the slopes and intercepts
A. Both the slopes and the r-intercepts are the same.
0 B. The slopes are different but the fintercepts are the same
13 C. The slopes are the same but the intercepts are different.
D. Both the slopes and the y intercepts are different.

Answer 1

To compare the slopes and intercepts of the functions \( f(x) \) (which you mentioned is shown in a graph) and \( g(x) = -6x + 3 \), we need to analyze the slope and intercepts of both functions.

1. **Slope**: The slope of a linear function \( y = mx + b \) is given by \( m \).
- For \( g(x) = -6x + 3 \), the slope \( m \) is -6.

2. **Y-Intercept**: The y-intercept is the value of \( b \) in the function \( y = mx + b \).
- For \( g(x) = -6x + 3 \), the y-intercept is 3.

Now, we need to determine the slope and y-intercept of the function \( f(x) \) from its graph. Since I can't view the graph directly, you would need to identify:

- The slope of \( f(x) \) (let's call it \( m_f \)).
- The y-intercept of \( f(x) \) (let's call it \( b_f \)).

Based on the information we have:

- If \( m_f = -6 \) and \( b_f = 3 \), then the answer would be A: "Both the slopes and the y-intercepts are the same."
- If \( m_f \neq -6 \) and \( b_f = 3 \), then the answer would be B: "The slopes are different but the y-intercepts are the same."
- If \( m_f = -6 \) and \( b_f \neq 3 \), then the answer would be C: "The slopes are the same but the intercepts are different."
- If both \( m_f \neq -6 \) and \( b_f \neq 3\), then the answer would be D: "Both the slopes and the y-intercepts are different."

You can determine which option applies by matching the slope and intercept of \( f(x) \) to those of \( g(x) \).