Quadrants On A Graph

[Music]

being able to determine the location of

a point is a crucial skill when working

with a coordinate plane when we're

working with all four quadrants being

able to determine the sign on our x and

y coordinates is also crucial let's

start by identifying this point where

x-axis and our y-axis intersect where

our x-axis and our y-axis intersect is

the origin and the origin is located at

point 0 0 remember when working with

ordered pairs our coordinates are always

inside a set of parenthesis with the

comma separating the x and the y values

let's come around and start here in

quadrant 1 to determine the location of

this point we start by seeing where it

lines up on our x-axis we can see that

we're to the right of our origin so that

we know our x value is going to be

positive we notice that our point lines

up with the 5 on the x axis so the x

value in our ordered pair is going to be

positive 5 next we can look at its Y

value when we come across we can see

that we're going to be above the origin

so we know our Y value is going to be

positive we can also see that our point

lines up with the 3 on the y axis so

positive 3 is going to be the y

coordinate in our ordered pair so the

ordered pair the best represents this

point is positive 5 positive 3 coming

around the quadrant 2 we can determine

the location of this point when we check

its x-coordinate first we notice we're

to the left of the origin so our x value

is going to be negative we notice our

point lines up at the negative 4 so in

our ordered pair our x coordinate is

going to be negative 4 we can check to

see where it lines up on the y axis we

notice that we're above the origin so

our Y value is going to be positive our

point lines up with the 2 so positive 2

is going to be the y coordinate in our

ordered pair so the ordered pair the

best represents this point is negative 4

positive 2 coming down two quadrant 3 we

start by checking its x value we notice

we're to the left of the origin so our x

value is going to be negative we also

notice our point falls between negative

3 and negative 4 since the

scale and our x-axis is counting by ones

and our point Falls about halfway

between negative three and negative four

we can estimate its x value is going to

be about negative three and five tenths

now we can come across and check its Y

value we notice we're below the origin

so it's Y value is going to be negative

if we check this point lines up with

negative 4 on the y axis so this point

is best represented by the ordered pair

negative 3 and 5 tenths negative 4 we

can finish it off by identifying our

point in Quadrant 4 when we check its x

value we notice is to the right of the

origin so our x value is going to be

positive our point lines up with 2 so in

our ordered pair positive 2 is going to

be our x coordinate coming across and

checking its y-coordinate next we notice

we're below the origin so the Y value is

going to be negative we also notice our

point falls between negative 1 and

negative 2 looking at the scale on the y

axis we see we're counting by ones since

the point falls about halfway between

negative 1 and negative 2 we can

estimate the Y value to be about

negative 1 and 1/2 so the ordered pair

that would best represent this point

would be positive 2 negative 1 and 1/2

so when working with 4 quadrants we not

only have to pay attention to how far we

go on our x and y axis

we also have to pay attention to what

direction so we can determine if our

ordered pair needs positive or negative

signs in it