hey guys it's Kaeleigh in this lesson we will be graphing ordered pairs in four
quadrants make sure you've already watched the video about ordered pairs
before starting this one alright let's get started in the video about ordered
pairs we learned that this is called a coordinate grid with an x-axis a y-axis
and an origin and we learned how to plot an ordered pair like plotting 6 comma 3
right here but in this video we're going to upgrade our coordinate plane from one
quadrant to four quadrants we still have quadrant 1 here that we know all about
and the other quadrants are quadrant two quadrant 3 and quadrant 4 let's focus in
on quadrant 2 see the x-axis is still the horizontal line but all the
x-coordinates in quadrant 2 are negative numbers the y-axis is the vertical line
and notice that all the y-coordinates are positive numbers just like they are
in quadrant one so we know the ordered pairs that live in quadrant 2 will all
look like a negative x and a positive Y
now if we move down here to quadrant 3 we see the x-axis is still the
horizontal line and all the x-coordinates are also negative numbers
the y-axis is the vertical line but it points down so all the y-coordinates in
quadrant three are also negative numbers so we know the ordered pairs that live
in quadrant 3 will be negative x and negative y lastly let's take a look at
quadrant 4 you see the x-axis is the horizontal line but just like in
quadrant one the x squared are all positive numbers the y-axis is
the vertical line that points down so all the y-coordinates in Quadrant four
are negative so this tells us that the ordered pairs that live in quadrant four
will be positive x negative Y let's do a quick review ready
point two quadrant one that's right it's right here and it has ordered pairs that
look like positive x positive Y now point two quadrant two yep
with ordered pairs negative x positive Y and how about quadrant three uh-huh and
the ordered pairs are both negative negative x negative Y and how about
quadrant four yes the last one with ordered pairs that are positive x
negative Y nice job now let's plot some points together so you see here I have
four sets of ordered pairs I'm gonna plot the four points all on my
coordinate grid right here let's start with point a so it says negative two
comma three so this first one is my X so I need to find negative two on my x axis
right here and then I have positive three on my y axis so I can go up one
two three and that is point a nice work
now let's move on to point B it says 6 comma negative 4 so starting with my six
that means positive six on my x axis I go to my origin I find positive 6 on
my x axis and then it says negative 4 so that means I'm going down negative on my
y axis 1 2 3 4 draw my point there and I'm going to label it as B
nice moving on now to point C it says eight comma one so my x coordinate is
positive eight going to my origin I have to find positive eight on my x-axis so I
move in the positive direction there's positive eight and then my y coordinate
is positive one so I go up one on my y axis and that's point C okay lastly I
have point D it says negative 9 negative 9 so both my x coordinate and my y corn
are negative that gives me a hint I know negative x negative Y means I'm
here in Quadrant three so negative 9 on my x-axis are you my origin I go over I
find negative 9 right here and I have to go down on my y-axis until I hit
negative 9 right here make my mark label my point point D nice work so on this
one you'll see I'm gonna do the reverse I have all my points already here on my
coordinate grid now I'm gonna go over here to where it says point a point B
Point C and Point D I'm gonna write what the ordered pair is that represents that
point so Point a we have here so I need to find what my x-coordinate would be so
I can mark it all the way down here my x-coordinate looks like negative 7 so I
write comma negative 7 and what's my y-coordinate I traced it over to my
y-axis I have positive 4 so that's where Point a lives and what quadrant is this
quadrant 2 now point B is down here so I traced up to get my x-coordinate on the
x-axis looks like negative 3 and I traced over to my y-axis looks
like negative three so that's the ordered pair where a point B Liz now
what quadrant is point being negative x negative Y quadrant three now Point C
here is up here we can trace down to our x-axis that gives us positive eight for
x-coordinate and our y if we trace over here to our y-axis gives us positive
nine so we have positive x coordinate positive y-coordinate we know that we're
in quadrant one now lastly we have point D down here to
figure out what my x-coordinate is boom-boom-boom-boom-boom
positive 5 and my y-coordinate I trace over to my y-axis gives me negative
eight and down here this last question here is number four so I wrote these as
Roman numerals to label our quadrant which is kind of the traditional way to
do it but we can also just say quadrant one quadrant two quadrant three in
quadrant four all right nice work so now you just reversed it
you found all of the ordered pairs of where your points live so now you get to
practice what you've learned about graphing on coordinate grits using four
quadrants nice work parts what you've learned by doing the online games and
quizzes have fun and remember to always be clever