Give the slope, y-intercept and x-intercept for the graph of the function f(x)=17x+4
.

For the function \( f(x) = 17x + 4 \), we can extract the slope, y-intercept, and x-intercept as follows:

### 1. **Slope (m):**
The function is in the slope-intercept form, \( f(x) = mx + b \), where \( m \) is the slope.
- In this case, \( m = 17 \).

### 2. **Y-intercept:**
The y-intercept is the value of \( f(x) \) when \( x = 0 \). This corresponds to the constant term \( b \) in the equation.
- Here, the y-intercept is \( b = 4 \).
- The point is \( (0, 4) \).

### 3. **X-intercept:**
The x-intercept is the value of \( x \) when \( f(x) = 0 \). To find it, we set \( f(x) = 0 \) and solve for \( x \):
\[
0 = 17x + 4
\]
\[
17x = -4
\]
\[
x = -\frac{4}{17}
\]
- So, the x-intercept is \( x = -\frac{4}{17} \).
- The point is \( \left( -\frac{4}{17}, 0 \right) \).

### Summary:
- **Slope:** \( 17 \)
- **Y-intercept:** \( (0, 4) \)
- **X-intercept:** \( \left( -\frac{4}{17}, 0 \right) \)

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the slope and intercepts change if the function were \( f(x) = -17x + 4 \)?
2. How do you calculate the x-intercept of a quadratic function?
3. What is the significance of a positive versus a negative slope?
4. How do parallel lines relate in terms of slope?
5. Can a function have multiple x-intercepts?

**Tip:** In linear functions, the slope indicates the steepness of the line, with higher values corresponding to steeper inclines.

Give the slope, y-intercept, and x-intercept for the graph of the function f(x)=17x+4.

Discover how to find the slope, y-intercept, and x-intercept of the linear function f(x) = 17x + 4. This detailed explanation covers key algebraic concepts like slope-intercept form and solving for intercepts, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation