find the slope-intercept of the line that passes through (-3,-1) and has a slope of 0

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

\[
y = mx + b
\]

where:
- \(m\) is the slope, and
- \(b\) is the y-intercept.

In this case, the slope \(m = 0\), so the equation simplifies to:

\[
y = 0x + b
\]

which becomes:

\[
y = b
\]

Since the line passes through the point \((-3, -1)\), we substitute these values into the equation to find \(b\):

\[
-1 = b
\]

Thus, the equation of the line is:

\[
y = -1
\]

This is a horizontal line with a constant value of \(y = -1\).

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Would you like further details or have any questions? Here are 5 related questions to explore further:

1. How do you find the slope between two given points?
2. What is the equation of a vertical line passing through a given point?
3. Can you explain how the slope affects the orientation of a line?
4. What does it mean if the slope is undefined?
5. How do you convert a general linear equation into slope-intercept form?

**Tip:** A line with a slope of zero is always horizontal, meaning it does not rise or fall, but stays constant along the y-axis.

Learn how to find the slope-intercept form of a line that passes through the point (-3, -1) with a slope of 0. This problem explains the key concepts of slope-intercept form (y = mx + b) and solving for the y-intercept. Suitable for students in Grades 6-8.

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