The Coordinate Plane #39

The two number lines are called the axes. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. The two number lines are called the axes. 2

The horizontal axis is called the x-axis. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. The horizontal axis is called the x-axis. 3

The vertical axis is called the y-axis. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. The vertical axis is called the y-axis. 4

The two axes divide the coordinate plane into four quadrants. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. The two axes divide the coordinate plane into four quadrants. 5

The point where the axes intersect is called the origin. A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line. The point where the axes intersect is called the origin. 6

The ordered pair for the origin is (0,0). An ordered pair gives the location of a point on a coordinate plane. The first number tells how far to move right (positive) or left (negative) from the origin. The second number tells how far to move up (positive) or down (negative). The numbers in an ordered pair are called coordinates. The first number is called the x-coordinate. The second number is called the y-coordinate. The ordered pair for the origin is (0,0). 7

Example 1: Identifying Quadrants Name the quadrant where each point is located. A. X B. Y C. S 8

Name the quadrant where each point is located. Example 2 Name the quadrant where each point is located. A. V B. Z C. T Helpful Hint Points on the axes are not in any quadrant. 9

Give the coordinates of each point. X Y S V Z T Example 3 Give the coordinates of each point. X Y S V Z T 10

Graph each point on a coordinate plane. A. V(4, 2) Example 4 Graph each point on a coordinate plane. A. V(4, 2) B. W(–3, 1) x y 4 2 –4 –2 0 2 4 –2 –4 11

Graph each point on a coordinate plane. C. Z(0, –4) Example 4 Continued Graph each point on a coordinate plane. C. Z(0, –4) D. T(1, –3) x y 4 2 –4 –2 0 2 4 –2 –4 12

Graph each point on a coordinate plane. A. L(3, 4) Example 5 Graph each point on a coordinate plane. A. L(3, 4) B. M(–3, –3) x y 4 2 –4 –2 0 2 4 –2 –4 13