Ticket out the Door


1. Describe the relationship between the slopes of each of the following.

a. Two parallel line

b. Two perpendicular lines

 

2. Explain what negative reciprocals are. Give an example.

 

3. Check the results of Exercise 2 and 4 by graphing the original equation and the answer equation for each example on the same coordinate plane. Describes what happens.

 

4. Refer to the Activity. Why do you think the right triangle should be scalene?

 

5. Repeat the activity with a different size right triangle.

a. Are the results different?

b. What do you think would happen if you used a triangle that was not a right triangle?

 

State the slopes of the lines parallel to and perpendicular to the graph of each equation.

6. 3x = 10y - 3

 

7. 6x - 5y = 11

 

8. Determine whether the graph of each equation is parallel, perpendicular, or neither.

5x - 2y = 6, 4y - 10x = -48

 

9. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the equation.

(0, 4), 2y = 5x - 7

 

10. Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of each equation.

(-2, 7), 2x - 5y = 3

 

 


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