Question

lesson 8.5: graphing on a coordinate grid

1. write the coordinates of each point from a to h.

a _____________
b _____________
c _____________
d _____________
e _____________
f _____________
g _____________
h _____________

1. for each point in question 1, name the quadrant or axis that contains the point.
2. what can be said about the coordinates of point p in each case?

a) p is in quadrant 2.
b) p lies on the x - axis.
c) p is in quadrant 4.
d) p lies on the y - axis.
e) p is at the origin.
f) p is in quadrant 3.

1. a) plot these points on a coordinate grid: k(-3, 4), a(4, 4), t(3, 2), e(-2, 2).

b) join the points. which shape is formed?

1. a) plot these points on a coordinate grid: a(3, 5), b(-4, 5), c(-4, 2).

b) find the coordinates of point d that forms rectangle abcd.

Explanation:

Step1: Determine the x - coordinate

For each point, the x - coordinate is the value on the x - axis. For example, for point A, moving horizontally from the origin (0,0), we count 1 unit to the right. So the x - coordinate of A is 1.

Step2: Determine the y - coordinate

For each point, the y - coordinate is the value on the y - axis. For point A, moving vertically from the x - axis, we count 4 units up. So the y - coordinate of A is 4.

Step3: Repeat for other points

For point B: x - coordinate is 0 (on the y - axis), y - coordinate is - 3.
For point C: x - coordinate is 2, y - coordinate is - 2.
For point D: x - coordinate is - 1, y - coordinate is 0 (on the x - axis).
For point E: x - coordinate is - 5, y - coordinate is - 4.
For point F: x - coordinate is - 4, y - coordinate is 2.
For point G: x - coordinate is 5, y - coordinate is 0 (on the x - axis).
For point H: x - coordinate is 0, y - coordinate is 0 (origin).

Answer:

A: (1,4)
B: (0, - 3)
C: (2, - 2)
D: (-1,0)
E: (-5, - 4)
F: (-4,2)
G: (5,0)
H: (0,0)