List the slope and​ y-intercept. Then, graph.
​f(x)equals3xminus5
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Part 1
The slope is 
  
enter your response here. ​(Simplify your​ answer.)
Part 2
The​ y-intercept is 
  
enter your response here.
​(Type an ordered pair. Simplify your​ answer.)

The equation of the function is given as:

\[
f(x) = 3x - 5
\]

### Part 1: Slope
The function \( f(x) = 3x - 5 \) is in the slope-intercept form, which is:

\[
y = mx + b
\]

where \( m \) is the slope, and \( b \) is the y-intercept.

- **Slope (m):** The coefficient of \( x \) is 3, so the slope is:

\[
\boxed{3}
\]

### Part 2: Y-intercept
The y-intercept is the value of \( f(x) \) when \( x = 0 \). From the equation:

\[
f(0) = 3(0) - 5 = -5
\]

Thus, the y-intercept is:

\[
\boxed{(0, -5)}
\]

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Would you like me to help you graph the function? 

Here are 5 additional related questions:
1. How do you calculate the slope between two points?
2. What does the slope tell you about the graph of a linear function?
3. How do you find the x-intercept of a linear equation?
4. How does changing the slope affect the steepness of the line?
5. What are other forms of linear equations besides slope-intercept form?

**Tip:** To graph a line, plot the y-intercept first, then use the slope to determine other points.

List the slope and​ y-intercept. Then, graph. f(x) = 3x - 5

Learn how to find the slope and y-intercept of the linear function f(x) = 3x - 5. This detailed solution explains the slope-intercept form and demonstrates graphing techniques for students in Grades 8-10.

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