Answer:
2) (5,4) and (-1,4)
These have the same y so this line will be horizontal making it parallel to the x-axis.
Step-by-step explanation:
All horizontal lines are parallel to each other. The x-axis is horizontal. So we are looking for a horizontal line. On a horizontal line, all the y-coordinates are the same; their equation is in the form y=a number after all.
Anyways we looking for a pair of points with the same y-coordinate.
1) (2,3) and (2,-5)
These have the same x-coordinate so this line is vertical. This would actually be perpendicular to the line given.
2) (5,4) and (-1,4)
These have the same y so this line will be horizontal making it parallel to the x-axis.
3) (2,2) and (-1,-1)
y's aren't the same so not horizontal
x's aren't the same so not vertical
4) (3,4) and (6,2)
y's aren't the same so not horizontal
x's aren't the same so not vertical
For a pair of points to be parallel to the x-axis, the points have to consist the same x-coordinates.
In this case, only (1) (2,3), (2,-5) have the same x-coordinates.
Therefore, the answer is (1) (2,3), (2,-5).
Hope it helps!
