Question

Graph the linear function to identify the x-intercept.
Consider the function: ƒ(x) = 5x + 5/2

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

Answer 1

To find the x-intercept and y-intercept of the linear function \( f(x) = 5x + \frac{5}{2} \), we will set \( f(x) = 0 \) to find the x-intercept and evaluate \( f(0) \) for the y-intercept.

### 1. Finding the x-intercept

To find the x-intercept, set \( f(x) = 0 \):

\[
0 = 5x + \frac{5}{2}
\]

Now, solve for \( x \):

\[
5x = -\frac{5}{2}
\]
\[
x = -\frac{5}{2} \div 5 = -\frac{5}{10} = -\frac{1}{2}
\]

**The x-intercept is \( -\frac{1}{2} \). (Answer A)**

### 2. Finding the y-intercept

To find the y-intercept, evaluate \( f(0) \):

\[
f(0) = 5(0) + \frac{5}{2} = \frac{5}{2}
\]

**The y-intercept is \( \frac{5}{2} \). (Answer D)**

### Summary of Answers

1. **X-intercept:** A (−1/2)
2. **Y-intercept:** D (5/2)