To plot the point (4, 2) starting from the origin, which moves are correct?
A2 units right, then 4 units up
B4 units up, then 2 units right
C4 units right, then 2 units up
D2 units up, then 4 units right
In an ordered pair (x, y), x always comes first and controls horizontal movement (right), while y controls vertical movement (up). Moving 4 right then 2 up places you at (4, 2). The most common error is reversing the coordinates — moving 2 right and 4 up lands at (2, 4), a different point entirely.
Question 2 True / False
The point (0, 5) lies on the x-axis.
TTrue
FFalse
Answer: False
(0, 5) has an x-value of 0, meaning it is directly on the y-axis, not the x-axis. Points on the x-axis have a y-value of 0 (like (5, 0)). Points on the y-axis have an x-value of 0 (like (0, 5)).
Question 3 Short Answer
What does the ordered pair (x, y) tell you about where a point is located on the coordinate plane?
Think about your answer, then reveal below.
Model answer: The x-value tells how far to move horizontally from the origin (right is positive in the first quadrant), and the y-value tells how far to move vertically (up is positive). Together they pinpoint exactly one location on the plane.
The ordered pair is a precise address. Both values are needed — knowing only x tells you the point is somewhere on a vertical line; knowing only y tells you it is somewhere on a horizontal line. Both together identify the single intersection point.