Jimenez Weaver
12/17/2023 · Junior High School
(3) \( f(x)=3-2 x, \quad M(7 ; 5) \);
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
It seems like you're providing a function \( f(x) = 3 - 2x \) and a point \( M(7, 5) \). However, it's not clear what you would like to do with this information. Here are a few possibilities:
1. **Evaluate the function at \( x = 7 \)**:
\[
f(7) = 3 - 2(7) = 3 - 14 = -11
\]
2. **Check if the point \( M(7, 5) \) lies on the graph of the function**:
The point \( M(7, 5) \) lies on the graph of \( f(x) \) if \( f(7) = 5 \). From the previous calculation, we found that \( f(7) = -11 \), so the point \( M(7, 5) \) does not lie on the graph of the function.
3. **Find the slope of the line represented by the function**:
The function \( f(x) = 3 - 2x \) is in slope-intercept form \( y = mx + b \), where \( m \) is the slope. Here, the slope \( m = -2 \).
4. **Find the y-intercept**:
The y-intercept occurs when \( x = 0 \):
\[
f(0) = 3 - 2(0) = 3
\]
So the y-intercept is \( (0, 3) \).
If you have a specific question or task in mind regarding the function or the point, please let me know!
Quick Answer
Evaluate the function at \( x = 7 \), we get \( f(7) = -11 \). The slope of the line is \( -2 \), and the y-intercept is \( (0, 3) \).
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