Solved on Nov 16, 2023

Find the final coordinates after moving left 2 units and down 1 unit from the starting point (4,2)(4,2).

STEP 1

Assumptions1. The starting point is at (4,)(4,). The movement is units to the left and1 unit down

STEP 2

To find the new position after moving left, we subtract the number of units moved from the x-coordinate of the starting point.
Newxcoordinate=StartingxcoordinateUnitsmovedleftNew\, x-coordinate = Starting\, x-coordinate - Units\, moved\, left

STEP 3

Now, plug in the given values for the starting x-coordinate and the units moved left to calculate the new x-coordinate.
Newxcoordinate=2New\, x-coordinate = -2

STEP 4

Calculate the new x-coordinate.
Newxcoordinate=42=2New\, x-coordinate =4 -2 =2

STEP 5

To find the new position after moving down, we subtract the number of units moved from the y-coordinate of the starting point.
Newycoordinate=StartingycoordinateUnitsmoveddownNew\, y-coordinate = Starting\, y-coordinate - Units\, moved\, down

STEP 6

Now, plug in the given values for the starting y-coordinate and the units moved down to calculate the new y-coordinate.
Newycoordinate=21New\, y-coordinate =2 -1

STEP 7

Calculate the new y-coordinate.
Newycoordinate=21=1New\, y-coordinate =2 -1 =1

STEP 8

Now that we have the new x-coordinate and y-coordinate, we can write the new position as an ordered pair (x-coordinate, y-coordinate).
Newposition=(Newxcoordinate,Newycoordinate)New\, position = (New\, x-coordinate, New\, y-coordinate)

STEP 9

Plug in the values for the new x-coordinate and the new y-coordinate to write the new position.
Newposition=(2,)New\, position = (2,)You end at (2,)(2,).

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