The abscissa of a point 4 units away from x axis and 2 units away from y axis is*1 point4321

Break Down the Problem

1. Identify the distances from the point to the x-axis and y-axis.
2. Determining the potential coordinates based on the distances given.

Relevant Concepts

In a Cartesian coordinate system:

• The distance from a point $(x, y)$ to the x-axis is $|y|$.
• The distance from a point $(x, y)$ to the y-axis is $|x|$.

Analysis and Detail

1. The problem states that the point is 4 units away from the x-axis, so: $|y| = 4 \implies y = 4 \text{ or } y = -4$
2. The point is also 2 units away from the y-axis, so: $|x| = 2 \implies x = 2 \text{ or } x = -2$

Possible Points

Based on the above analysis, we have the following possible points:

1. $(2, 4)$
2. $(2, -4)$
3. $(-2, 4)$
4. $(-2, -4)$

Verify and Summarize

The problem specifically asks for the abscissa (the x-coordinate) of the points derived. The possible abscissas are:

• 2 (from points $(2, 4)$ and $(2, -4)$)
• -2 (from points $(-2, 4)$ and $(-2, -4)$)

Final Answer

The abscissas of the points are $2$ and $-2$.