What are you Plotting?

Investigate the positions of points which have particular x and y coordinates. What do you notice?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



On a set of axes (like the ones below), plot all the points which have an x coordinate of 3.

What do you notice about the position of all these points?

Now plot all the points which have a y coordinate of 5.

What do you notice about the position of these points?

Give the coordinates at the point where the two lines you have drawn meet.

We call this the point of intersection of the lines.

Image
What are you Plotting?


Now look at the set of axes above. What do all the points on the blue line have in common?

Name 3 points on the green line.

What are the coordinates of the point which is on both the red and yellow lines?

Which line would the point (17,4) be on?