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

Are these equations parallel, perpendicular, or NEITHER?

y = 2x + 4

y = -1/2x + 8

What is Perpendicular?

100

Write an equation in the slope-intercept form for the line that contains the point (2,-6) and is parallel to y=3x+9.

What is y=3x-12?

100

Write an equation in slope-intercept form for the line that contains the point (3,2) and is perpendicular to y=5x+6. 

What is y=1/5x+13/5?

100

Find the center and radius of the given problem. 

(x+4)2 + (y+2)2 = 25

Center = (-4,-2)

Radius = √25 = 5

100

What is the first step to solving the square?

Take half of the coefficient of the middle number.

200

Are these equations parallel, perpendicular, or NEITHER?

-y = 5x + 3

5x + y = 4

What is Parallel? 

200

Write an equation in slope-intercept form for the line that contains the point (-4,3) and is parallel to y=1/2x+7.

What is y=1/2x+5?

200

Write an equation in slope-intercept form for the line that contains the point (-5,3) and is perpendicular to y=1/10x+6. 

What is y=10x+53? 

200

Is the radius of the given problem even? 

(x+5)2 + (y-3)2 = 9

What is NO?

200

Find the center of the problem.

 x2+y2+8x+4y-2=0

Center = (-4,-2)

300

Are these equations are parallel, perpendicular, NEITHER?

2x + 2y = 5

5x + y = 6

What is NEITHER?

300

Write an equation in slope-intercept form for the line that contains the point (6,9) and is parallel y=7x+8.

What is y=7x-33?

300

Write an equation in slope-intercept for the line that contains the point (8,6) and is perpendicular to y=1/6x+3. 

What is y=6x-42? 

300

How do you find the radius?

You take the constant on the other side of the equal sign and and find the square root.

300

Does the radius have a decimal?

x2 + y2 + 6x + 10y - 6 = 0

What is YES?

400

Are these equations parallel, perpendicular, or NEITHER? 

5x + 2y = 6

-2x + 5y = 8

What is Perpendicular?

400

Write an equation in slope-intercept form for the line that contains the pair (3,2) and is parallel to y=6x+5. 

What is y=6x-16?

400

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

What is y=1/2x+5/2? 

400

Does this equation's radius have a decimal?

(x+7)2 + (x+3)2 = 60

What is YES?

400

What is the third step to solving the square root?

Add numbers to both sides. 

500

Are these equations parallel, perpendicular, or NEITHER?

-10x + 5y = 30

-6x + 3y = 10 

What is Parallel?

500

Write an equation in slope-intercept form for the line that contains the point (8,10) and is parallel to y=5x+4. 

What is y=5x-30?

500

Write an equation in slope-intercept form for the line that contains the point (4,9) and is perpendicular to y=1/9+4. 

What is y=9x-27? 

500

Find the center and radius. 

(x+8)2 + (x+6) = 100

Center = (-8,-6) 

Radius = √100 = 10

500

Find the radius and center of the problem. Round to the nearest tenth. 

x+ y2 + 2x + 4y - 16 = 0 

Center = (-1,-2)

Radius = √21 = 4.6