Coordinate Graphing Worksheet for plotting ordered pairs and finding end points.

I will solve this coordinate graphing problem by calculating the end point for each starting point based on the given directions. I'll go through each row in the table one by one.

First, look closely:

The image shows a worksheet titled "Coordinate Graphing." It has a grid with x and y axes ranging from -6 to 6. Below the grid is a table with three columns: "Start," "Direction," and "End." The task is to plot the ordered pair (the start point) and then find the coordinate of each end point by following the direction.

The table lists six points (A through F) with their starting coordinates and directional instructions (e.g., "2 units up and 5 units left"). My job is to calculate the final coordinates for each.

Next, find information:

I need to calculate the new coordinates for each point by applying the directional movements to the starting coordinates. This involves basic arithmetic on the x and y values.

- Moving "up" increases the y-coordinate.
- Moving "down" decreases the y-coordinate.
- Moving "right" increases the x-coordinate.
- Moving "left" decreases the x-coordinate.

I will now calculate the end point for each row.

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Point A: Start (2, 1), Direction: 2 units up and 5 units left
- Starting at (2, 1)
- Move 2 units up: y = 1 + 2 = 3
- Move 5 units left: x = 2 - 5 = -3
- End point: (-3, 3)

Point B: Start (-3, 1), Direction: 4 units down and 2 units left
- Starting at (-3, 1)
- Move 4 units down: y = 1 - 4 = -3
- Move 2 units left: x = -3 - 2 = -5
- End point: (-5, -3)

Point C: Start (-3, -3), Direction: 3 units up and 2 units right
- Starting at (-3, -3)
- Move 3 units up: y = -3 + 3 = 0
- Move 2 units right: x = -3 + 2 = -1
- End point: (-1, 0)

Point D: Start (3, 3), Direction: 2 units up and 3 units left
- Starting at (3, 3)
- Move 2 units up: y = 3 + 2 = 5
- Move 3 units left: x = 3 - 3 = 0
- End point: (0, 5)

Point E: Start (-3, -2), Direction: 4 units up and 2 units right
- Starting at (-3, -2)
- Move 4 units up: y = -2 + 4 = 2
- Move 2 units right: x = -3 + 2 = -1
- End point: (-1, 2)

Point F: Start (-4, -5), Direction: 6 units right and 5 units up
- Starting at (-4, -5)
- Move 6 units right: x = -4 + 6 = 2
- Move 5 units up: y = -5 + 5 = 0
- End point: (2, 0)

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Then, review the findings:

I have calculated all six end points by applying the directional changes to the starting coordinates. The calculations are straightforward applications of vector addition to the initial points.

Final Answer:

Here are the completed end points for the coordinate graphing worksheet:

* A: End point is (-3, 3)
* B: End point is (-5, -3)
* C: End point is (-1, 0)
* D: End point is (0, 5)
* E: End point is (-1, 2)
* F: End point is (2, 0)