Let's work through the subtraction of these two coordinate points step-by-step:
1. Identify the Initial Coordinates:
- The first coordinate is [tex]\((5, 4)\)[/tex].
- The second coordinate is [tex]\((-3, 2)\)[/tex].
2. Break Down the Subtraction of Coordinates:
- Coordinates are subtracted component-wise. This means we will subtract the x-coordinates and the y-coordinates separately.
3. Subtract the X-coordinates:
- Take the x-coordinate of the first point, which is [tex]\(5\)[/tex], and subtract the x-coordinate of the second point, which is [tex]\(-3\)[/tex].
- This operation can be written as: [tex]\(5 - (-3)\)[/tex].
4. Solve for the X-coordinate:
- Subtracting a negative number is the same as adding the positive counterpart of that number.
- Therefore, [tex]\(5 - (-3) = 5 + 3 = 8\)[/tex].
5. Subtract the Y-coordinates:
- Take the y-coordinate of the first point, which is [tex]\(4\)[/tex], and subtract the y-coordinate of the second point, which is [tex]\(2\)[/tex].
- This operation can be written as: [tex]\(4 - 2\)[/tex].
6. Solve for the Y-coordinate:
- [tex]\(4 - 2 = 2\)[/tex].
7. Combine the Results:
- After subtracting the respective coordinates, the resulting point is [tex]\((8, 2)\)[/tex].
Therefore, the result of the subtraction [tex]\((5, 4) - (-3, 2)\)[/tex] is [tex]\((8, 2)\)[/tex].
