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.
