The equation given is:

$-25x - 5y = -15$

We are asked to rewrite this equation in slope-intercept form, which is:

$y = mx + b$

where $m$ is the slope and $b$ is the y-intercept. Let's work through the steps:

Step 1: Move the $x$-term to the other side

We want to isolate the $y$-term on the left side. Add $25x$ to both sides of the equation:

$-5y = 25x - 15$

Step 2: Solve for $y$

To isolate $y$, divide every term by $-5$:

$y = \frac{25x}{-5} - \frac{15}{-5}$

Simplifying the fractions:

$y = -5x + 3$

Final Answer:

The slope-intercept form of the equation is:

$y = -5x + 3$

Would you like further clarification or details?

Here are 5 related questions you might find helpful:

1. How can you find the slope of a line from two points?
2. What does the y-intercept represent in a real-world context?
3. How do you graph a line using the slope-intercept form?
4. How can you convert slope-intercept form to standard form?
5. How can you find the equation of a line parallel to a given line?

Tip: The slope is the coefficient of $x$, and it tells you how steep the line is. A negative slope means the line decreases from left to right.