Find the slope and​ y-intercept of the line.
y equals negative 9 x minus 13
Question content area bottom
Part 1
Find the slope.
The slope of the line is 
  
enter your response here. 
​(Type an integer or a simplified​ fraction.)
Part 2
Find the​ y-intercept.
The​ y-intercept is 
  
enter your response here. 
​(Type an integer or a simplified​ fraction.)

To find the slope and \( y \)-intercept of the line described by the equation:

\[
y = -9x - 13
\]

we can compare this to the slope-intercept form of a line, which is:

\[
y = mx + b
\]

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

### Part 1: Finding the Slope
From the equation \( y = -9x - 13 \), we see that \( m = -9 \).  
So, the slope of the line is:

\[
\text{slope} = -9
\]

### Part 2: Finding the \( y \)-intercept
In the same equation, \( b = -13 \).  
Thus, the \( y \)-intercept is:

\[
\text{y-intercept} = -13
\]

### Final Answer
- **Slope**: \(-9\)
- **Y-intercept**: \(-13\)

Would you like more details, or do you have any questions about this? 

Here are some related questions:
1. How do you find the slope of a line from two points?
2. What does the slope represent in a real-world context?
3. How do you find the \( y \)-intercept if you have the slope and a point on the line?
4. What is the significance of a negative slope?
5. How can we graph this line using the slope and \( y \)-intercept?

**Tip:** In slope-intercept form \( y = mx + b \), identifying \( m \) and \( b \) directly gives the slope and \( y \)-intercept without additional steps.

Find the slope and y-intercept of the line. y equals negative 9 x minus 13

Learn how to find the slope and y-intercept of the line y = -9x - 13 using the slope-intercept form. This solution breaks down identifying the slope (-9) and y-intercept (-13), helping students understand key algebraic concepts. Ideal for Grades 7-9.

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