Parallel/Perpendicular/Neither
Writing Equations of
Parallel Lines
Writing Equations of Perpendicular Lines
Identifying the Center & Radius of a Circle,
Completing the Square to find the Center and Radius of a Circle
100

y= 3x -7      y= 3x + 1

Parallel

100

Write the equation of a line that passes through (-4,3), parallel to y= 1/2x - 3

Y= 1/2x + 5

100

Find the equation of a line perpendicular to y=4x-2 that passes through (4, -5).

y=-1/4x-4

100

(x+117)²+ (y +1250)²=2500

Center (-177, -1250)

Radius 50

100

x² - y² +10x-14y+70+=0

Center (-5, 7)

Radius 12

200

5x + 6y =24 and 2x +4y=20

Neither

200

Find the equation of the line parallel to y= -2x-9 and passes through (4,-3)

y=-2x+5

200

Find the equation of a line perpendicular to y=3/2x-2 that passes through (6, -1).

y=-2/3x-8

200

(x-220)² + (y+457)²=625

Center (220, -457)

Radius 25

200

x² + y² +8x - 6y + 21=0

Center (-4, 3)

Radius 2

300

y= -3/2x + 5       3x + 2y = 6

Parallel

300

Write an equation of a line parallel to y= 3x + 2, containing (2,-4)

y=3x-2

300

Find the equation perpendicular to y=1/3x-1 that passes through (4, 3).

y=-3x-9

300

(x+375)² + (y + 173)²= 441

Center (-375, -173)

Radius 21

300

x² + y² -2x +24y +120=0

Center (1, -12)

Radius 5

400

3y = 4x + 15     9x + 12y = 12

Perpendicular 

400

Write the equation of a line that passes through (6,1), and is parallel to y= 4x -2 

y = 4x-23

400

Find the equation perpendicular to y=-1/5x-6 that passes through (3, -4). 

y=5x-11

400

 (x-5)²+(y+7)²=144

Center (5,-7)

Radius 12

400

x²+ y² -16y-36=0

Center (0,8)

Radius 5

500

8x - 2y = 4       y = 4x + 7

Perpendicular 

500

Find the equation of a line parallel to y- 7/3x + 2 and passing through (-15,71)

Y= -7/3x + 36

500

Find the equation perpendicular to y=-1/4x-5 that passes through (2, 5).

y=4x-3

500

(x-339)² + (y+27)²=361

Center (339, -27)

Radius 19

500

x² +y² +4x+6y=12

center (-2,-3)

Radius 5