ANSWER
y = -1
Step-by-step explanation
We want to find the line that passes through (3, -1) and is parallel to the line given.
The general form of a linear equation is given as:
y = mx + b
where m = slope
b = y intercept.
The given line is a horizontal line. A horizontal line is given as:
y = b
This means that the slope is 0.
Therefore, since the line we need is parallel to this, it means that its slope is also 0.
Now, we can find the equation of the line using point-slope method. To do that we have:
y - y1 = m(x - x1)
where (x1, y1) is the point the line passes through
Therefore, since the line passes through (3, -1), we have that the equation is:
y - (-1) = 0(x - 3)
=> y + 1 = 0
=> y = -1
That is the equation of the line.