Plot each point in the xy-plane. Tell in which quadrant or on what coordinate axis each point lies.
A=
(−5,−6)
D=
(0,−1)
B=
(−2,0)
E=
(5,7)
C=
(−7,6)
A: (-5,-6) - This point lies in the third quadrant.
D: (0,-1) - This point lies on the negative y-axis.
B: (-2,0) - This point lies on the negative x-axis.
E: (5,7) - This point lies in the first quadrant.
C: (-7,6) - This point lies in the second quadrant.
A = (-5, -6) lies in Quadrant III.
D = (0, -1) lies on the negative y-axis.
B = (-2, 0) lies on the negative x-axis.
E = (5, 7) lies in Quadrant I.
C = (-7, 6) lies in Quadrant II.
To plot each point in the xy-plane and determine the quadrant or coordinate axis they lie on, follow these steps:
1. Draw the coordinate axes: x-axis (horizontal) and y-axis (vertical) that intersect at the origin (0,0).
2. Plot each point using the given coordinates:
A = (-5, -6): Start at the origin and move 5 units to the left (negative x) and 6 units down (negative y). A is in the third quadrant.
D = (0, -1): Start at the origin and move 0 units left or right (x-axis) and 1 unit down (negative y). D is on the negative y-axis.
B = (-2, 0): Start at the origin and move 2 units to the left (negative x) and 0 units up or down (x-axis). B is on the negative x-axis.
E = (5, 7): Start at the origin and move 5 units to the right (positive x) and 7 units up (positive y). E is in the first quadrant.
C = (-7, 6): Start at the origin and move 7 units to the left (negative x) and 6 units up (positive y). C is in the second quadrant.
3. Label each plotted point with its corresponding coordinates.
Based on the plot, the results are:
A (-5, -6) - Third Quadrant
D (0, -1) - Negative y-axis
B (-2, 0) - Negative x-axis
E (5, 7) - First Quadrant
C (-7, 6) - Second Quadrant