by:Gabriela Castro Correa

the plane determinated by a horizontal

number line called the x-axis, and a

vertical number line called y-axis intersecting

at a point called the origin.

what is a coordinate plane?

coordinate plane is divide in 4 cuadrants

first:

identify the coordinates

how to plot a point in the coordinate plane

graphical example

ex:

A=(4,2) here the 4=x and 2=y

everytime x is the first number

ex:

B= (-3,-5) -3=x and -5=y

slopes

a slope is a rate of change that shows how many time it take something to dcrease or increase .

4 types of slopes

postive slope (when lines go uphill from left to right)

negative slope (when lines go downhill from left to right)

zero slope (when lines are horizontal)

undefined slope (when lines are vertical)

example:

how to find a slope !

to find a slope you take the 2 points of a line and you do this operation y2-y1/x2-x1

example:

(2,10),(6,12)

2=x1,10=y1,6=x2 ,12=y2

12-10/6-2=

2/4

ANOTHER WAY!

ANOTHER WAY TO FIND SLOPE IS COUNTIG UNITS!

MAKE A TRIANGLE BETWEEN 2 ORDERED PAIRS. COUNT THE UNITS AND REPRESENT IT AS A FRACTION (RISE/RUN)

3/1

Y-INTERCEPT

y=mx+b

if m=3 and b=4

the equation would be:

y=3x+4

example:

finding x- and y-intercepts

step 1:

to find the x- intercept,

substitute 0 for y and

solve for x.

step 2

step 2

to find the y-intercept

substitute 0 for x and

solve for x.

3x+4y=8

3x+4(0)=8

3x=8

x=8/3

3(0)+4y=8

4y=8

y=8/4

y=2

point-slope form

m(x-x0)=y-y0

formula

:

example

slope: 2

M=2

(4,10)

2(x-4)y-10

2x-8=y-10

2x-8+10=y

2x+2=y

standard form:

2x-y=-2

mx+b=y

**geogebra!!**

my images

conclusions:

* i improve my skills in math becasuse

i study more than ever to maka this presentation.

* i improve my skills in technology now i

make good presentation in prezi and i meet

Geogebra.

*i really like this project because it have 3 different main programs Paint,Geogebra,Prezi.

*i learn how i can use this topics for my whole life.

**thank you!**