Joi & Assata Geometry Lockdown

Parallel/Perpendicular, Neither

100

(-9, 2), y= 3x -12 

m=-1/3

y= -1/3x -1

200

if the following equations of two lines are parallel, then find the value of k

3x +2y -8=0

(5k +3) x+ 2y +1=0

300

if the slopes of two lines are           , then the lines are parallel to each other

neither

400

what line is perpendicular to x +3y= 6 and travels through point (1, 5)

y= 3x+2

500

what is the equation of a line that runs perpendicular to the line 2x +y =5 and passes through the point (2, 7)

-x/2 +y= 6

Writing Equations of Parallel Lines

100

    Solve for y

(5,-1) y=-3/5x -3

Y=-3/5x + 2

200

Finding the value of y

(1,7) -6x+y=-1

Y=6x+1

300

Find the y value

(-2,5) 2y=4x-6

Y=2x+9

400

Find the y value

(-10,0) -y +3x=16

Y=3x+30

500

                         Find the y value

line a: y=3/5x+1

line b:5y=3x-2

line c:10x-6y=-4

  Y=5/3x + 2/3

Writing Equations of Perpendicular Lines

100

2x + 3y= 6

(6, -2)

y= -2/3x +2

200

5x+2y =8

(5, -2)

y= 2/5x- 4

Identify the Center & Radius of a circle

100

Identify the Center and Radius

(x + 5)² + (y + 4)²= 49

Center ~ (-5, -4)

Radius ~ 49= 7

200

Identify the Center and Radius

x²+ (y -6)² = 100

Center ~ (0,6)

Radius~ 100= 10

300

Identify the Center and Radius

(x-10)² + (y-2)^{2 =} 36

Center ~ (10,2)

Radius ~ 36=6

400

Identify the Center and Radius

(x-8)²+ (y+4)²= 81

Center~ (8, -4)

Radius ~ 81=9

500

Identify the Center and Radius

(x +10)² +(y +5)²= 121

Center ~ (-10, -5)

Radius~ 121= 11

Completing the square to find the Center and Radius of a circle

100

x²+4x+ y²+ 6y -3 =0

(-2, -3)

16 =4

200

x²+ 6x +y² - 4y -6 =0

(-3, 4)

11

300

x² +16x +y² +8y = -12

(-8, -4)

0

400

x²+ 12x+ y² - 10y +7 =0

(-6, 5)

4=2

500

x²+10x +y²+ 22y -5 = 0

(-5, -11)

151