Q:

Which pair of points will determine a lineparallel to the x-axis?(1) (2,3), (2,-5)(2) (5, 4), (-1, 4)(3) (2, 2), (-1, -1)(4) (3, 4), (6,2)Please help I don’t get it I’m stuck:(

Accepted Solution

A:
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 horizontalx's aren't the same so not vertical4)  (3,4) and (6,2)y's aren't the same so not horizontalx's aren't the same so not vertical