A line has a slope of 0 and a y-intercept of 
–
7
3
. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

The slope-intercept form of a line's equation is given by:

\[
y = mx + b
\]

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

In this case, the slope \(m = 0\), and the y-intercept \(b = -\frac{7}{3}\).

Since the slope is 0, the equation simplifies to:

\[
y = -\frac{7}{3}
\]

This is the equation of a horizontal line.

Would you like further explanation or have any questions?

Here are 5 related questions to consider:
1. What is the equation of a line with a slope of 2 and a y-intercept of \(\frac{1}{4}\)?
2. How does the graph of a line change if its slope increases?
3. What is the meaning of a slope of 0 in the context of a graph?
4. How would the equation change if the y-intercept were positive instead of negative?
5. Can you determine the x-intercept of the line from this equation?

**Tip:** A line with a slope of 0 is always horizontal, and its equation will always be \(y = b\).

A line has a slope of 0 and a y-intercept of -7/3. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Learn how to find the equation of a line with a slope of 0 and a y-intercept of -7/3 in slope-intercept form. This problem is ideal for students in Grades 6-8 and focuses on key concepts of linear equations and algebra.

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