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
  1. 3x + 4y = 12

          -4x + 3y = -6

Perpendicular

100

The line that has the point (2,-5) and is parallel to y = 4x + 9.

y = 4x - 13

100

The slope of a line perpendicular to the line
4x - 5y = -18?

m = -5/4

100

(x-2)² + (y+1)² =16

Center - (2,-1)

radius - 4

100

x+ 4x + y2+ 2y = 31

C: (-2,-1)

R: 6

200
  1. 5x + 3y = -9

10x + 6y = 12

Parallel

200

The line that passes through (-3, 4) and is parallel to 3y = 2x - 3

y = (2/3)x +6

200

The slope of the line that perpendicular to the line 3x - 5y = 10

m = -5/3

200

(x-1)² + (y+4)² =9

Center - (1, -4)

Radius - 3

200

x- 4x + y2 + 4y = 8

C: (2,-2)

R: 4

300

y = -1/4x + 7

y = 4x - 3

Perpendicular

300

The line that passes through (-8, 2) and is parallel to 5x - 4y = 1.

y = (5/4)x + 12

300

The slope of a line perpendicular to the line
y = -3/4x

m = 4/3

300

x² + (y-3)² =25

Center - (0,3)

Radius - 5

300

x2 - 4x + y2 +8y - 5 = 0

C: (2, -4)

R: 5

400

y = 9 - 5x

y = -1/5x + 1

neither

400

The line that passes through (-1, -2) and is parallel to 3x - y = 5.

y = 3x + 1

400

The line that goes through the point (5, 9) and is perpendicular to y = 5/4x + 4

y = 5/4x + 2

400

(x-9)² + (y-1)² =36

Center - (9,1)

Radius - 6

400

x2 +y2 - 6x - 2y - 15 = 0

C: (3, 1)

R: 5

500

y = 3x + 9

-9x + 3y = 12

Parallel

500

The line that passes through (3, 1) and is parallel to 2x + y = 5.

y = -2x +7

500

The line that goes through the point (5, -5) and is perpendicular to y = 5/4x + 4

y = -4/5x - 1

500

(x-11)² + (y+8)² =49

Center - (11,-8)

Radius - 7

500

x2 + 4x + y2 - 8y - 44 = 0

C: (-2,4)

R: 8

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