Question

1. explain how to plot the point (6, - 3) in a coordinate plane.

first, graph each point on the coordinate plane and label the points on the graph. second, tell what quadrant or axis.

1. a (5, 6)
2. b (0, 4)
3. c (2, - 4)
4. d (- 2, 2)
5. e (- 7, 0)
6. f (- 5, - 3)

Explanation:

Step1: Recall coordinate - plane rules

In a coordinate plane, for a point $(x,y)$, $x$ is the horizontal (abscissa) and $y$ is the vertical (ordinate) value.

Step2: Analyze point A(5,6)

The $x$ - value is 5 (positive) and the $y$ - value is 6 (positive). Move 5 units to the right along the x - axis and 6 units up along the y - axis. It is in Quadrant I.

Step3: Analyze point B(0,4)

The $x$ - value is 0 and the $y$ - value is 4. Since $x = 0$, the point lies on the y - axis. Move 0 units along the x - axis and 4 units up along the y - axis.

Step4: Analyze point C(2, - 4)

The $x$ - value is 2 (positive) and the $y$ - value is - 4 (negative). Move 2 units to the right along the x - axis and 4 units down along the y - axis. It is in Quadrant IV.

Step5: Analyze point D(-2,2)

The $x$ - value is - 2 (negative) and the $y$ - value is 2 (positive). Move 2 units to the left along the x - axis and 2 units up along the y - axis. It is in Quadrant II.

Step6: Analyze point E(-7,0)

The $x$ - value is - 7 (negative) and the $y$ - value is 0. Since $y = 0$, the point lies on the x - axis. Move 7 units to the left along the x - axis and 0 units along the y - axis.

Step7: Analyze point F(-5,-3)

The $x$ - value is - 5 (negative) and the $y$ - value is - 3 (negative). Move 5 units to the left along the x - axis and 3 units down along the y - axis. It is in Quadrant III.

Answer:

1. A(5,6): Plot by moving 5 units right and 6 units up, Quadrant I
2. B(0,4): Plot on y - axis (0 units right, 4 units up), y - axis
3. C(2, - 4): Plot by moving 2 units right and 4 units down, Quadrant IV
4. D(-2,2): Plot by moving 2 units left and 2 units up, Quadrant II
5. E(-7,0): Plot on x - axis (7 units left, 0 units up), x - axis
6. F(-5,-3): Plot by moving 5 units left and 3 units down, Quadrant III