Question

Graph the linear function to identify the x-intercept.
Responses
A −1/2
B 5
C 1/2
D 2/5

Question 2
Graph the linear function to identify the y-intercept.
Responses
A −1/2
B 5
C 1/2
D 5/2

Answers

GPT-4o mini
To identify the intercepts of a linear function, you typically need the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. However, since the function isn't specified, here’s how you can approach the identification of intercepts in general:

### X-Intercept
The x-intercept of a linear function occurs where \( y = 0 \). To find the x-intercept, set the equation of the line to zero and solve for \( x \).

### Y-Intercept
The y-intercept of a linear function occurs where \( x = 0 \). To find the y-intercept, simply substitute \( x = 0 \) into the equation of the line, which will give you the value of \( y \).

Given the options you provided, here’s how you would determine which answer corresponds to each intercept:

### For the X-Intercept:
- **A: -1/2**
- **B: 5**
- **C: 1/2**
- **D: 2/5**

### For the Y-Intercept:
- **A: -1/2**
- **B: 5**
- **C: 1/2**
- **D: 5/2**

Without the specific linear function, I cannot determine the correct answers among those provided. However, you can use the approaches described above to graph or calculate those intercepts based on the specific equation you have. If you can provide the equation of the linear function, I would be happy to assist you further!

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