Question

please help its due in a hour . write the equation of the line that passes through the given point and is parallel to the given line.

Answer 1

In order to solve this exercise, it is important to remember the following:

1. The equation of a horizontal line, has this form:

`y=k`

Where "k" is the y-intercept.

2. The slope of a horizontal line is zero:

`m=0`

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:

`y=-4`

So you can identify that it is a horizontal line and its y-intercept is:

`k=-4`

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:

`y=2`

The answer is:

`y=2`