A line has a slope of 0 and passes through the point (1,–
5). Write its equation in slope-intercept form.

When a line has a slope of 0, it means the line is horizontal. The equation of a horizontal line is always of the form:

\[
y = b
\]

where \(b\) is the constant \(y\)-coordinate of any point the line passes through.

In this case, the line passes through the point \((1, -5)\), so the \(y\)-coordinate is \(-5\). Therefore, the equation of the line is:

\[
y = -5
\]

This is the equation in slope-intercept form.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the slope of a vertical line?
2. How do you find the equation of a line given two points?
3. What is the difference between a positive slope and a negative slope?
4. How does the slope-intercept form relate to graphing a line?
5. Can a line have an undefined slope?

**Tip**: A slope of 0 always means a line is horizontal, and it will always have the same \(y\)-coordinate for any \(x\)-value.

A line has a slope of 0 and passes through the point (1, -5). Write its equation in slope-intercept form.

Find the equation of a line with a slope of 0 passing through the point (1, -5). This algebra problem demonstrates how to write the equation of a horizontal line in slope-intercept form, suitable for students in Grades 6-8.

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