Interpret negative numbers, locate coordinates and describe horizontal and vertical moves.
Example 1
P starts at (3,3). It moves 3 units right, then 3 units up. What are its new coordinates (x,y)?
Point P on four quadrantsShow worked answer
Answer: (6,6)
- A horizontal move changes only x:3+3=6.
- A vertical move changes only y:3+3=6.
Example 2
Write the coordinates of P as (x,y). Read the horizontal coordinate first.
Point P on four quadrantsShow worked answer
Answer: (4,4)
- P is 4 units right of the origin, so x=4.
- P is 4 units above the origin, so y=4.
Example 3
An account balance is−$3. A deposit of $16 is added. What is the new balance in dollars? Use a negative number if money is still owed.
Show worked answer
Answer: 13
- A negative balance represents money owed.
- Start at−3 and move 16 places to the right: −3+16=13.