Easy Algebra Step-by-Step

(Marvins-Underground-K-12) #1

The Cartesian Coordinate Plane 173


vertical distance (up or down) of the point P from the x-axis. If y is positive,
P is above the x-axis; if y is negative, it is below the x-axis.

Problem Name the ordered pair of integers corresponding to point A in
the coordinate plane shown.

10

y

A

x

9 8 7 6 5 4 3 2 1

–10–9–8–7–6–5–4–3–2–1 12345678

(0, 0)
–1^910
–2
–3
–4
–5
–6
–7
–8
–9
–10

0

Solution
Step 1. Determine the x-coordinate of A.
The point A is 7 units to the left of the y-axis, so it has x-coordinate −7.

Step 2. Determine the y-coordinate of A.
The point A is 4 units above the x-axis, so it has y-coordinate 4.

Step 3. Name the ordered pair corresponding to point A.
(−7, 4) is the ordered pair corresponding to point A.

Two ordered pairs are equal if and only if their corresponding coordi-
nates are equal; that is, (a, b) = (c, d) if and only if a = c and b = d.
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