Question

A point with an
-coordinate of 0 has a vertical distance of 4 from the
-axis. Graph the two points this coordinate could be.

Graph shows X axis visible from -10 to 10 and is in units of 1. Y axis visible from -10 to 10 and is in units of 1. The graph has 2 points.Press TAB key to focus and select points on graph. Once selected use arrow keys to move points.
x
y
a2
ab
7
8
9
÷
(
)
<
>
4
5
6
×
|a|
,
≤
≥
1
2
3
−
π
0
.
=
+
(0,0)

Answer 1

Given that the point has an x-coordinate of 0 and a vertical distance of 4 from the y-axis, we can deduce the y-coordinates of the two possible points.

The y-axis represents the line where \( x = 0 \). A vertical distance of 4 from the x-axis means that the y-coordinate can be either positive or negative. Therefore, the two possible points are:

1. (0, 4) – which is 4 units above the x-axis.
2. (0, -4) – which is 4 units below the x-axis.

So, the two points that fulfill the given condition are (0, 4) and (0, -4). You can graph these points on your coordinate system, representing (0, 4) in the first quadrant and (0, -4) in the fourth quadrant of your graph.