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Current time:0:00Total duration:2:22

Coordinates of rectangle example

CCSS.Math:

Video transcript

so I have copy and pasted this question from the exercises on Khan Academy and says sort the following expressions from least to greatest based on the coordinates of the rectangle below so we need to figure out what Y Z and X are then we need to sort them so let's look first look at well let's first let's look at Y and this is a little bit counterintuitive because they're using the variable Y to represent the x-coordinate to represent the x-coordinate of this point so let's see if we can figure out what the x-coordinate of this point is well it's a rectangle the x coordinate of this point right over here it's going to be the same as the x-coordinate of this point they sit on the same vertical line the way that it's drawn so if this has an x coordinate of x equals 4 then this is going to have an x coordinate of 4 and now we use a variable Y for the x coordinate which is a little strange but this is going to be the point 4 comma 7 so Y is equal to 4 now let's see what we could figure out about Z well Z is going to is the y-coordinate for let me use another color here Z is the y coordinate for this point now what other point has the same y-coordinate well it's going to be at the same level I guess you could say in the in the vertical direction it's going to sit on the same horizontal line so it's going to have the same y-coordinate as this point now this point has a y-coordinate of 3 so this points y-coordinate needs to be 3 or we could say that Z is equal to 3 so this is going to be equal to 3 and then last but not least we need to figure out what X is and X is the x-coordinate and let me just in another color X is the x coordinate for this point well this x-coordinate is going to be the same thing as the x-coordinate for this point up here which is equal to 2 they sit on the same vertical line they both sit on the line x equals 2 and so x x is going to be 2 it is the x-coordinate it is also the variable X so this is going to be 2 so if we want to know if we want to sort them from least to greatest x is the least then we would go it's actually the exact opposite of what we have here would be X then Z then Y 2 then 3 then 4 so actually let me at the exercise out and just check our answer so X is the least then Z's in the middle and then Y is the largest we could check our answer I've got it right