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What is the distance of the point [tex]$(2,4)$[/tex] from the [tex][tex]$x$[/tex]-axis[/tex] and [tex]$y$-axis[/tex]?

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GinnyAnsweridn
To determine the distances of the point [tex]\((2, 4)\)[/tex] from the x-axis and the y-axis, let's proceed step by step:

### Distance from the x-axis:
1. Identify the y-coordinate:
- For the point [tex]\((2, 4)\)[/tex], the y-coordinate is [tex]\(4\)[/tex].

2. Interpret the y-coordinate as distance:
- The distance from the point to the x-axis is simply the absolute value of the y-coordinate. This is because the x-axis is horizontal, and the distance from any point to this axis is measured vertically.

3. Calculate the distance:
- The distance from [tex]\((2, 4)\)[/tex] to the x-axis is [tex]\( \left| 4 \right| = 4 \)[/tex].

### Distance from the y-axis:
1. Identify the x-coordinate:
- For the point [tex]\((2, 4)\)[/tex], the x-coordinate is [tex]\(2\)[/tex].

2. Interpret the x-coordinate as distance:
- The distance from the point to the y-axis is simply the absolute value of the x-coordinate. This is because the y-axis is vertical, and the distance from any point to this axis is measured horizontally.

3. Calculate the distance:
- The distance from [tex]\((2, 4)\)[/tex] to the y-axis is [tex]\( \left| 2 \right| = 2 \)[/tex].

### Summary:
- Distance from the x-axis: [tex]\(4\)[/tex]
- Distance from the y-axis: [tex]\(2\)[/tex]

Thus, the distances of the point [tex]\((2, 4)\)[/tex] from the x-axis and the y-axis are [tex]\(4\)[/tex] and [tex]\(2\)[/tex], respectively.
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