In order to solve this exercise, it is important to remember the following:
1. The equation of a horizontal line, has this form:
[tex]y=k[/tex]
Where "k" is the y-intercept.
2. The slope of a horizontal line is zero:
[tex]m=0[/tex]
3. The horizontal lines are parallel to the x-axis.
4. All points on a horizontal line will have the same y-coordinate.
In this case, you know this equation of a line:
[tex]y=-4[/tex]
So you can identify that it is a horizontal line and its y-intercept is:
[tex]k=-4[/tex]
Therefore, the other line parallel to the given line is an horizontal line.
Since it passes through the point (-3,2) and the y-coordinate on an horizontal line is always the same, you can determine that the equation for this line is:
[tex]y=2[/tex]
The answer is:
[tex]y=2[/tex]
