SECTION P.1By: Tom Homer, Stephen Esposito, Tyler Holdsworth, and Hayley Duphilly

THE CARTESIAN PLANE

How to plot a point

Example (2,3)• Start from the origin (0,0)• Move to the right 2 units• Move up 3 units

III

III IV

SCATTER PLOT Representation of a trend in data over time

2007 2008 2009 2010 2011 2012 2013 2014940950960970980990

10001010102010301040

# of Dogs in Middleboro

# of Dogs in MiddleboroLinear (# of Dogs in Middleboro)

Year # of Dogs in Middleboro2008 9802009 9752010 10122011 10352012 9982013 1000

Trend Line*

BAR GRAPH Representation of a comparison of data over time

2008 2009 2010 2011 2012 2013940950960970980990

10001010102010301040

# of Dogs in Middleboro

# of Dogs in Middleboro

Year # of Dogs in Middleboro2008 9802009 9752010 10122011 10352012 9982013 1000

LINE GRAPH Representation of the change in data over time

2008 2009 2010 2011 2012 2013940950960970980990

10001010102010301040

# of Dogs in Middleboro

# of Dogs in Middleboro

Year # of Dogs in Middleboro2008 9802009 9752010 10122011 10352012 9982013 1000

DISTANCE FORMULA

C=√a2+b2

C=√rise2+run2

C=√(y1-y2)2+(x1-x2)2

(A2+B2=C2)

(1,3)

(5,1)

CB

A

MIDPOINT FORMULA

X1+X2 Y1+Y2

2 , 2

1+5 3+1

2 , 2

= (3,2)

(1,3)

(5,1)

Midpoint = (3,2)

CIRCLE FORMULA

Actual formula

(x-h)2+(y-k)2=r2

Center = (h,k) Center = (2,2) Find distance using

distance formula Plug in numbers to

formula

* (x-2)2+(y-2)2=4

Radius (r)

(2,2)

(2,4)