What is the standard form equation of a circle?
(x-h)^2+(y-k)^2=r^2
When partitioning a line segment what letters do we use to identify the ratio?
Example 3:4 or 3 to 4
A and B
Example: A is 3 and B is 4
How do we find the perimeter of a figure on the coordinate plane?
Use the distance formula for the side lengths then add all the sides together
Where would a point be located if
(x-h)^2+(y-k)^2>r^2
Outside of the circle
What type of slope will perpendicular lines have?
Opposite reciprocal (change the sign and flip the fraction!)
Identify the center and radius of the circle below
(x-5)^2+(y+2)^2=49
Center: (5, -2)
Radius: 7
What is the formula we use to find the midpoint of a line segment?
(x1+x2)/2 (y1+y2)/2
What equation do we use to find the area of a rectangle/parallelogram?
A=L*W
Where would a point be located if
(x-h)^2+(y-k)^2=r^2
On the circle
What equation do we use when writing the equation of a line when given slope and y-intercept?
Slope intercept form
y=mx+b
Write the equation of a circle with a center located at (3, -1) and a radius of 4
(x-3)^2+(y+1)^2=16
Midpoint: (5.5, 1)
What equation do we use to find the area of a triangle?
A= (b*h)/2
Find the distance of segment KJ if K is located at (-1, 4) and J is located at (2, 8)
5
What equation do we use when writing the equation of a line given a point and the slope?
Point slope form
y-y1=m(x-x1)
Identify the center and radius of the circle with equation
x^2+(y-4)^2=34
Center: (0, 4)
Radius:
sqrt34
Find the midpoint M of segment CD if C is located at (-4, 8) and D is located at (2, 0)
(-1, 4)
Find the perimeter of the figure below
42 un
Where is the point A (3, -2) in relation to the circle with equation
(x-2)^2+(y+6)^2=18
Inside of the circle
What is the slope intercept form of the line with equation
4x + 6y = 18
y=-2/3x+3
Complete the square to identify the equation of a circle in standard form
x^2+y^2-8x+6y-10=0
(x-4)^2+(y+3)^2=35
Find the coordinate of the point P that lies along the directed segment from C (-3, -2) to D(6,1) and partitions the segment in the ratio 2 to 1.
(3, 1)
Find the area of the figure below
60un^2
Where is the point A (-1, 5) in relation to the circle with equation
(x-6)^2+(y-3)^2=53
On the circle
Write the equation of a line perpendicular to y=3x + 2 with a y-intercept of -5
y=-1/3x-5