Midpoint/ Distance Formula
What is the midpoint between (2,3) and (8, -1)?
(5, 1)
What are the intercepts of the line:
3x+4y=12
(4,0), (0,3)
Find the equation of the line with:
slope=0, containing point (-5,4)
y=4
What is the line perpendicular to x=8, containing the point (3,7)
y=7
What is the standard form of a circle with center at (6,-7) and a radius of 5?
(x-6)^2+(y+7)^2=25
What is the midpoint of (-7, -9) and (-13, 6)
(-10, -1.5)
Which axis/axes does the equation have symmetry about?
5x^2-7y^2=9
x-int: yes
y-int: yes
origin: yes
Find the equation of the line with:
slope=undefined, containing point (3,8)
x=3
What is the line parallel to 2x-5y=-2 containing the point (3,5)? (Keep fractions)
y=2/5x+11/5
What are the intercepts of the circle:
x^2+(y-1)^2=1
(0,0), (0,2)
When given endpoint of (6,4) and midpoint (3, -3), what is the other endpoint?
(0, -10)
What are the intercepts of the line:
4y=16x^2-8
(0.25,0), (-0.25,0), (0, -2)
Find the equation of the line with:
slope=-2, containing point (3,-1)
y=-2x+5
What is the line that is perpendicular to 3x-y=-4 containing the point (-2, 4)? (Keep as a fraction)
y=-1/3x+10/3
What is the general form of the circle with endpoints of a diameter located at (-5,6) and (7,8)?
(x-1)^2+(y-7)=37
What is the distance between (5,7) and (-2, -3). Round to nearest hundredth.
12.21
Which axis/axes does the equation have symmetry about?
y=x^4+2x^2+1
x-int: no
y-int: yes
origin: no
Find the slope and y-intercept of the line:
4x-5y=-20
m=4/5
b=4
What is the line parallel to 2x-3y=-4 containing the point (-5,3)? (Keep as fractions)
y=2/3x+19/3
What is the general form of this equation:
(x-4)^2+(y-3)^2=25
x^2+y^2-8x-6y=0
What is the distance between (-3,4) and (2, -2)? Round to the nearest hundredth.
7.81
Which axis/axes does the equation have symmetry about?
x^3+y^3+x-y=16
X-int: no
Y-int: no
Origin: yes
Find the slope and y-intercept of the line:
1/2x+1/3y=1/6
m=-3/2
b=1/2
What is the line perpendicular to 4/3x+2/5y=-6/7 containing the point (8, -9)? (Keep fractions)
y=3/10x-57/50
What is the standard form of this equation:
x^2+y^2+14x-20y+28=0
(x+7)^2+(y-10)^2=121