Question

plot the two points and explain how the points are related to the x - axis.
(1, 4) and (1, - 4)
part: 0 / 2
part 1 of 2

Explanation:

Step1: Understand coordinate - point plotting

In a coordinate system, a point $(x,y)$ is plotted by moving $x$ units along the $x -$axis and $y$ units along the $y -$axis. For the point $(1,4)$, move 1 unit to the right along the $x -$axis and 4 units up along the $y -$axis. For the point $(1, - 4)$, move 1 unit to the right along the $x -$axis and 4 units down along the $y -$axis.

Step2: Analyze the relation to the x - axis

The two points $(1,4)$ and $(1, - 4)$ have the same $x -$coordinate ($x = 1$). The point $(1,4)$ is 4 units above the $x -$axis and the point $(1, - 4)$ is 4 units below the $x -$axis. They are reflections of each other across the $x -$axis.

Answer:

To plot the points: For the point $(1,4)$, start at the origin $(0,0)$, move 1 unit to the right along the $x -$axis and 4 units up along the $y -$axis and mark the point. For the point $(1,-4)$, start at the origin, move 1 unit to the right along the $x -$axis and 4 units down along the $y -$axis and mark the point. The points $(1,4)$ and $(1, - 4)$ are reflections of each other across the $x -$axis since they have the same $x -$coordinate and $y -$coordinates that are opposite in sign.