Plotting Points on Linear Functions
The x-coordinate is fixed for each point on the graphs below.
- Move the points to the correct position following the instruction on each activity.
- Use the line tool to check all your points are colinear.
- Use the pen/text tool to describe the instruction algebraically.
Task 1: Move the points on the graph below so that the y coordinate is equal to the x coordinate.
Task 2: Move the points on the graph below so that the y coordinate is equal to: the x coordinate plus one.
Task 3: Move the points on the graph below so that the y coordinate is equal to: double the x coordinate.
Task 4: Move the points on the graph below so that the y coordinate is equal to: double the x coordinate, minus 4.
In what way is graph 1 similar to graph 2? In what way is graph 3 similar to graph 4?
Task 6: Move the points on the graph below so that the y coordinate is equal to 14 subtract double the x value.
Task 7: Move the points on the graph to any location as long as they are all colinear and you can describe the relationship between the x and the y coordinates.
Describe the relationship between the x and y coordinate in your graph in task 7. Use either words or algebra or both.