To find the equation of a line using the slope-intercept form, we use the formula:

$y = mx + b$

Where:

• $m$ is the slope of the line,
• $b$ is the y-intercept.

Given:

• $m = -5$,
• $b = -4$,

Substitute these values into the formula:

$y = -5x - 4$

Thus, the equation of the line is:

$y = -5x - 4$

Let me know if you have any questions or want further clarification!

Relative Questions

1. What does the slope ($m$) represent in a linear equation?
2. How would the equation change if the slope were positive instead of negative?
3. What is the significance of the y-intercept ($b$) in the graph of the line?
4. How would you rewrite the equation if you wanted it in standard form ($Ax + By = C$)?
5. Can you calculate the x-intercept of this line? How?

Tip: When working with slope-intercept form, always ensure that $m$ and $b$ are correctly substituted to avoid errors in the equation.