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Distance & Midpoint
Find Intercepts from an Equation
Test for Symmetry
Equation for Parallel and Perpendicular Lines
Standard Form of a Circle
100
Find the distance between (0,0) and (4,2).


√20 = 2√5


100
Find the intercepts of y=2x–3.


x=(1.5,0), y=(0,–3)


100
Test symmetry x-axis, y-axis, and origin symmetry of y=x²


y-axis symmetry


100
Slope of a line parallel to y=2x+3


m=2

100
Write equation of a circle with center (0,0), radius 3.


x²+y²=9


200
Find the midpoint of (1,–1) and (–2,3).


(–0.5,1)


200
Find the intercepts of                 4x-5y=-20.


x=(-5,0), y=(0,4)

200
Test x-axis, y-axis, and origin symmetry of y=–x³.


Origin symmetry


200
Slope of a line perpendicular to y=–½x+1.


m=2

200
Circle with center (2,–1),    radius 5


(x–2)²+(y+1)²=25


300
Find the distance between     (4,–4) and (4,8).


12


300
Find both intercepts of 2x+3y=12.


(6,0) and (0,4)


300
Test x-axis, y-axis, and origin symmetry of x²+y²=25.


Symmetric about x-axis, y-axis, origin


300
Find the equation of a line parallel to 2x–3y=6 through (1,–1).


y=2/3x–5/3


300
Circle with center (–3,4),      radius 5.


(x+3)²+(y–4)²=25


400
Find the slope of the line between (0,0) and (4,2)


1/2


400
Find the intercepts of x²+y²=16


x=(±4,0), y=(0,±4)


400
Is y=|x| symmetric about any axis?


Yes, y-axis


400
Find the equation of a line perpendicular to x+2y=4 through (–3,1)


y=½x+2.5


400
Find center (h,k) and radius: x²+y²–6x+4y–3=0.


Center (3,–2), radius 4


500
Find the distance between     P1=(–1,3) and P2=(5,–1).


√52 = 2√13


500
Find the intercepts of 3x²+3y²–6x+12y=0


(0,0), (2,0), (0,–4)


500
Test x²+ y=9 for symmetry about x and y-axis.


Symmetric about y-axis only


500
Find the equation of a line perpendicular to y=–2x+5 through (0,3)


y=½x+3


500
Write the general form of ,     (x–1)²+(y+2)²=16


x²+y²–2x+4y+1=0