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

Determine if the lines are parallel, perpendicular, or neither.

8x + 2y = 14  & y = -4x - 1

y = -4x + 7  & y = -4x - 1

The lines are parallel.

100

Write an equation of the line in slope- intercept form that contains the point (4,1) and is parallel to y=4x-7

y=4x-15

100

Write an equation of the line in slope- intercept form that contains the point (4,3) and is perpendicular to y=2x-4

y= -1/2x +5 

100

Find the center & radius of the circle.

(x - 5)2 + (y - 3)2 = 16

Center - (5, 3)

Radius- 4

100

Find the center & radius of the circle by completing the square.

x2 + 6x + y2 + 4y - 1 = 0

Center- (-1, -2)

Radius-√6

200

Determine if the lines are parallel, perpendicular, or neither.

-6x - 4y = 8  &  y = 2/3x + 1

y = -3/2x - 2  &  y = 2/3x + 1

The lines are perpendicular.

200

Write an equation of the line in slope- intercept form that contains the point (4,-3) and is parallel to y=-2x-9

y=-2x+5

200

Write an equation of the line in slope- intercept form that contains the point (-3,2) and is perpendicular to y=-3x-4

y=1/3x+3

200

 Find the center & radius of the circle.

(x - 8)2 + y2 = 64

Center- (8, 0)

Radius- 8

200

Find the center & radius of the circle by completing the square.

x2 - 6x + y2 + 14y - 6 = 0

Center- (-3, -7)

Radius- 8

300

Determine if the lines are parallel, perpendicular, or neither.

8x + 4y = 12   &   -8x - 2y = -6

y = -2x + 3  &  y = -4x + 3

The lines are neither.

300

Write an equation of the line in slope- intercept form that contains the point (5,-4) and is parallel to y=2x+3

y=2x-14

300

Write an equation of the line in slope- intercept form that contains the point (-3,7) and is perpendicular to y= -3x-5

y=1/3+8

300

Find the center & radius of the circle.

x2 + (y + 2)2 = 9

Center- (0, -2)

Radius- 3

300

Find the center & radius of the circle by completing the square.

x2 + 4x + y2 - 6y - 25 = 0

Center- (-2, 6)

Radius- 8

400

Determine if the lines are parallel, perpendicular, or neither.

2x + 7y = 28  &  7x - 2y = 4

y = -2/7x + 4  &  y= 7/2x - 2

The lines are perpendicular.

400

Write an equation of the line in slope- intercept form that contains the point (-6,6) and is parallel to y=-3x+2

y=-3x-12

400

Write an equation of the line in slope- intercept form that contains the point (2,5) and is perpendicular to y=1/4x+6

y= -4x+13

400

Find the center & radius of the circle.

(x + 7)2 + (y - 9)2 = 36

Center- (-7 , 9)

Radius- 6

400

Find the center & radius of the circle by completing the square.

x2 + 2x + y2 - 6y = 16

Center- (-1, 3)

Radius- √26

500

Determine if the lines are parallel, perpendicular, or neither.

5x + 3y = -9  &  10x + 6y =12

y = -5/3x - 3  &  y = -5/3x + 2

The lines are parallel.

500

Write an equation of the line in slope- intercept form that contains the point (5,-3) and is parallel to y=4x+2

y=4x-23

500

Write an equation of the line in slope- intercept form that contains the point (5,3) and is perpendicular to y=1/5 +2

y= -5x+28

500

Find the center & radius of the circle.

(x + 1)2 + (y - 4)2 = 144

Center- (-1, 4)

Radius- 12

500

Find the center & radius of the circle by completing the square.

x2 - 6x + y2 - 26y + 162 = 0

Center- (3, 13)

Radius- 4


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