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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.

Write the linear equation in slope-intercept form and simplify: -25x - 5y = -15

Learn how to convert the linear equation -25x - 5y = -15 into slope-intercept form with step-by-step simplification. This algebra problem covers key concepts such as slope-intercept form and linear equations, suitable for Grades 8-10.

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