Question

Which pair of points will determine a line

Answer 1

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!

Answer 2

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