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

Example of shapes on a coordinate plane

Video transcript

so we're told here the four corners of a rectangle are located at the point 1 comma 1 1 comma 6 9 comma 6 and 9 comma 1 plot the four corners of the rectangle on the coordinate plane below and they gave us these four points and we can move them around with our mouse or our finger depending on what type of a computer we are using and so let's just go point by point and plot the green points at those points so the first one is 1 comma 1 and remember the first coordinate is our x coordinate the second coordinate is our y coordinate so the first coordinate tells us how far do we move to the right of the origin so it's 1 and then the second coordinate the y coordinate tells us how far to move up from the origin so that's also a 1 so 1 comma 1 the next point is 1 comma 6 x-coordinate is 1 so we move 1 to the right of the origin and then the y coordinate is 6 so we move 6 up and notice it's at the intersection of the line or is it the intersection of when y equals 6 and x equals 1 this is 1 comma 6 all right now we have 9 comma 6 so let's see if we take R if we have x equals 9 right over there and y is equal to 6 so we'd go up 6 so notice Y is now equal to 6 and we have one last point to plot 9 comma 1 so when X is 9 Y is 1 we go 9 to the right over right above x equals 9 and then we go up 1 this is 9 comma 1 and there you have it we have the four corners of our rectangle then they say what is the height of the rectangle well if you imagine a rectangle right over here the height would be the distance between that point and this point or the distance between that point and that point and so what is the distance between these points let's see there on they both have the same x-coordinate and this one is that y equals 6 this is at y equals 1 so this is 5 higher than this one so the height is 5 and we could also count you can see one two three four five