Question

3.1 the cartesian coordinate system
extra practice (test 2 sections)

1. plot the given points on the graph.

a) (-2,4)
b) (0,-7)
c) (2,-4)

1. identify the coordinates of each point.

d)
e)
f)

Explanation:

Step1: Recall coordinate - point plotting

In a Cartesian coordinate system, a point is represented as $(x,y)$ where $x$ is the horizontal (abscissa) and $y$ is the vertical (ordinate) value.

Step2: Plot point A (-2,4)

Move 2 units to the left along the x - axis (since $x=-2$) and 4 units up along the y - axis (since $y = 4$) and mark the point.

Step3: Plot point B (0,-7)

Since $x = 0$, the point lies on the y - axis. Move 7 units down from the origin (because $y=-7$) and mark the point.

Step4: Plot point C (2,-4)

Move 2 units to the right along the x - axis (as $x = 2$) and 4 units down along the y - axis (as $y=-4$) and mark the point.

Step5: Identify point D

By observing the graph, point D is on the y - axis and above the origin. Counting the grid - lines, if each grid - line represents 1 unit, the coordinates of D are $(0,5)$.

Step6: Identify point E

Point E is at the origin, so its coordinates are $(0,0)$.

Step7: Identify point F

By observing the graph, F is 8 units to the right of the origin ($x = 8$) and 1 unit below the x - axis ($y=-1$), so the coordinates of F are $(8,-1)$.

Answer:

A: (-2,4) is plotted as described.
B: (0,-7) is plotted as described.
C: (2,-4) is plotted as described.
D: (0,5)
E: (0,0)
F: (8,-1)