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.