Working with Points on a Coordinate Plane

Hi Tomasia, let's solve these coordinate plane problems together. We'll start by identifying the coordinates for the points shown on the grid in question one.

For part a, let's look at each point. Point K is at negative three on the x-axis and positive three on the y-axis, giving us the coordinates negative three comma three. Point X is at three comma two. Point M is at negative four comma negative four, and Point Y is at two comma negative three.

Now for part b, we need to plot a point P that is three units from K. Since K is at negative three comma three, if we move three units right, we reach the y-axis. So, one possible coordinate for P is zero comma three.

For part c, we need a point W that is two units from M. M is at negative four comma negative four. If we move two units up, we reach negative four comma negative two.

In question two, we calculate the length of segments connecting two points. When the x or y coordinates are the same, we simply find the absolute difference between the other coordinates.