The image shows a graph with a horizontal line passing through the y-axis at $y = -2$. The task is to write the equation of this line.

Solution:

The line is horizontal and crosses the y-axis at $y = -2$. The equation of a horizontal line is of the form:

$y = \text{constant}$

Here, the constant is $-2$. Therefore, the equation of the line is:

$y = -2$

Would you like more details, or do you have any questions?

Related Questions:

1. What is the equation of a vertical line that passes through $x = 3$?
2. How do you determine the equation of a line given its slope and a point on the line?
3. What is the equation of the line passing through points $(0, 0)$ and $(2, 2)$?
4. How can you determine if two lines are parallel based on their equations?
5. How do you find the equation of a line perpendicular to $y = 2x + 3$ that passes through the origin?

Tip:

For horizontal lines, the equation will always be in the form $y = \text{constant}$, while for vertical lines, it will be $x = \text{constant}$.