Question

Use what you have learned to complete this task. Part A Use the coordinate plane below to complete the table. у 10 9 8 7 00 OO Point X y А NWAO D 5 4 3 2. 1 B A B C 1 2 3 4 5 6 7 8 9 10 D Part B Identify a pattern you see formed by the points in the coordinate plane above. Then, explain the pattern using the points in the table above. Part C Plot 3 other points that follow this pattern. Label them with letters and write the ordered pair for each point below.

Answer 1

A) We can look at the coordinates of x in the horizontal axis and the coordinates of y in the vertical axis.

Then, we can see that A has coordinates (0,1), B has coordinates (1,2), C has coordinates (2,3) and D has coordinates (3,4).

We can then complete the table as:

Point | x | y

A | 0 | 1

B | 1 | 2

C | 2 | 3

D | 3 | 4

B) If we look at the pattern we can see that the points form a line.

A line will have a constant rate of change. We can see that for each unit increase of x, there is a increase of one in y, and this happens for all the points, so the rate of change is constant.

C) If we continue the pattern, we can create another point from D by adding one unit in x and one unit in y. This way we mantain the same rate of change (one unit of y per unit of x) and find new points.

With this method, we can create the following points: E(4, 5), F(5, 6) and G(6, 7).

We can plot them as: