Question

model it
complete the problems about ordered pairs with negative coordinates.
3 the coordinate plane shows point a.
a. describe how to move along grid lines from the origin to point a
in two steps.
b. how can you use your answer to problem 3a to write the ordered
pair for point a? what is the ordered pair for point a?
c. plot and label point b(0, -3) in the coordinate plane. how do you know where
to plot point b?

Explanation:

Part (a)

Step1: Analyze x - direction movement

From the origin \((0,0)\), we first move horizontally (along the x - axis). Looking at the coordinate plane, point A is to the right of the origin. We move 4 units to the right (since in the x - direction, positive values are to the right).

Step2: Analyze y - direction movement

After moving 4 units to the right, we then move vertically (along the y - axis). Point A is below the x - axis, so we move 3 units down (negative direction in the y - axis).

Step1: Recall ordered pair definition

An ordered pair \((x,y)\) is defined such that \(x\) is the horizontal (x - axis) movement from the origin and \(y\) is the vertical (y - axis) movement from the origin. Positive \(x\) is to the right, negative \(x\) is to the left; positive \(y\) is up, negative \(y\) is down.

Step2: Determine x and y values

From part (a), the horizontal movement (x - value) is 4 (since we moved 4 units to the right) and the vertical movement (y - value) is - 3 (since we moved 3 units down). So the ordered pair is formed by taking the x - movement as the first coordinate and the y - movement as the second coordinate.

Step1: Analyze the ordered pair \((0, - 3)\)

For an ordered pair \((x,y)\), when \(x = 0\), the point lies on the y - axis. The \(y\) - coordinate is - 3, which means we move 3 units down from the origin along the y - axis (since the x - coordinate is 0, we don't move horizontally, we only move vertically).

Step2: Plot the point

Start at the origin \((0,0)\). Since \(x = 0\), we stay on the y - axis. Then, because \(y=-3\), we move 3 units down along the y - axis and label this point as B.

Answer:

Move 4 units to the right from the origin, then move 3 units down.

Part (b)