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### Course: 6th grade (Eureka Math/EngageNY) > Unit 3

Lesson 3: Topic C: Rational numbers and the coordinate plane- Points on the coordinate plane examples
- Finding the point not graphed
- Plotting a point (ordered pair)
- Points on the coordinate plane
- Points on the coordinate plane
- Quadrants of the coordinate plane
- Points and quadrants example
- Quadrants on the coordinate plane
- Coordinate plane parts review
- Graphing coordinates review
- Coordinate plane word problem examples
- Distance between points: vertical or horizontal
- Coordinate plane problems in all four quadrants
- Reflecting points in the coordinate plane
- Reflecting points in the coordinate plane

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# Plotting a point (ordered pair)

Plotting ordered pairs on a coordinate plane is like a treasure hunt! The first number tells us how many steps to hop right or left on the x-axis. The second number guides us up or down on the y-axis. So, for (6, -8), we hop 6 steps right and 8 steps down. Voila, we've found our treasure! Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- Whenever there's, like, (9,2), do you plot the 9 on the y axis, or the x axis?(91 votes)
- just think (x,y)(44 votes)

- What if the ordered pair is (-1, 0)? Then what quadrant is it in?(8 votes)
- If a point is on an axis, it is not considered to be in a quadrant. You would say that the point is on the x axis.(8 votes)

- What is the definition of an ordered pair? Can it be any pair of numbers?(7 votes)
- An ordered pair, as is typically meant in beginning algebra
*(though there are some more advanced meanings you'll get into later)*, is the x and y coordinates of a point, stated in that order. Thus, (3,4) is the ordered pair representing the point at x=3 and y=4. (4,3) is not the same, that is the point at x=4 and y=3.

Though you won't see this right away, "ordered pair" can be used to refer to any set of two numbers that have to be put in a specific order in order.(4 votes)

- How would you use plot graphs for equations?(4 votes)
*y=mx+c*is the equation to find a STRAIGHT LINE GRAPH.(3 votes)

- How would you use plot graphs for equations?(5 votes)
- How do you plot (3/2,7/2) on a graph?(4 votes)
- Change each improper fraction to a mixed number or decimal.

(3/2,7/2) is (1 1/2, 3 1/2) or (1.5, 3.5)

Hope this helps.(2 votes)

- what if a number is a negative and it was also on the y or x axis?(3 votes)
- I know that in the video Sal is plotting a point, but why does he call it an"ordered pair?"

What even*is*an ordered pair!?(4 votes)- An ordered pair is exactly what it sounds like. No fancy language involved. Just 2 numbers on a number line put together in a pair that tells a location on a coordinate grid.(1 vote)

- The X co-ordinate of a point gives its distance from Y axis, and the Y co-ordinate of the point gives its distance from X axis.

Isn't this weird ?(3 votes) - Do y'all take notes? Because it helps me! You can use it for later in the assignments. Sometimes i gotta jot down things in my own way to better understand the problems.(4 votes)

## Video transcript

Plot the ordered pair
6, comma negative 8 into the coordinate plane. So this is a coordinate
plane right over here. The horizontal axis
here, this is the x-axis. The vertical axis
here is the y-axis. And the convention, when we
get an ordered pair like this, is that the first coordinate
is the x-coordinate, and the second coordinate
is the y-coordinate. So they're telling us that
we have an x-coordinate of 6. That means we count
up 6 on the x-axis. So let's count up 1. I could even write it down--
1, and then we have 2. That's right there. Then we have 3. Then we have 4. Then we have 5. And then we've moved
up 6 along the x-axis. We started at the
origin, at 0, 0. That's the origin. And we moved 6 to the right. That's this part
right over here. Now, our y-coordinate
is negative 8. That means we move down 8
in the vertical direction. So we can see it
right over here. So this right here, I'll
just do that every two. So this is down 1. This right here is
negative 2, negative 3. This right here is negative
4, negative 5, negative 6, negative 7, negative 8. So we move to the right 6,
and then we move down 8. We move to the
right 6, and then we move down 1, 2, 3,
4, 5, 6, 7, and 8. And we are right over there. So that is the point
, 6 negative 8. You could also look
at it this way. The x-coordinate is 6. So you move 6 there. And so we're going to be along
this line right over here. And then you can go, and then
the y-coordinate is negative 8. So you go down to negative 8. And you say, we're going to
be along this line over here. And the place that they
intersect is this coordinate. The easiest way I'd
like to think of it, move 6 to the right,
move along the x-axis, and then move along in
the vertical direction along the y-axis. So you go down 8.