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To find the slope of a line parallel to the line whose equation is \( 3x - y = -1 \), we need to first rewrite the equation in slope-intercept form \( y = mx + b \), where \( m \) represents the slope.

Starting with the given equation:
\[
3x - y = -1
\]

We solve for \( y \) by isolating it on one side of the equation:

\[
-y = -3x - 1
\]

Multiplying both sides by \(-1\) to get \( y \) positive:

\[
y = 3x + 1
\]

Now, the equation is in the form \( y = mx + b \), where \( m = 3 \).

### Conclusion:
The slope of the line is \( m = 3 \). Since parallel lines have the same slope, the slope of any line parallel to the given line is also \( \boxed{3} \).

Would you like any further explanation or have additional questions?

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Here are some related questions you might find helpful:

1. What is the slope of a line perpendicular to the given line?
2. How do you find the slope from a graph instead of an equation?
3. If a line has a slope of 3 and passes through a specific point, how do you find its equation?
4. How do you convert a slope-intercept form to standard form?
5. What are some real-world applications of finding the slope of a line?

**Tip:** Remember, the slope of a line parallel to another line is always identical to the slope of the original line.

Find the slope of a line parallel to the line whose equation is 3x - y = -1. Fully simplify your answer.

Discover how to find the slope of a line parallel to the equation 3x - y = -1. This solution walks through converting the equation to slope-intercept form and identifies the slope for lines parallel to the given line. Ideal for students in Grades 8-10.

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