Ticket out the Door


1. Write a counterexample to the statement "You must always know two points that satisfy an equation in order to graph the equation."

 

2. Explain why the value of d cannot be zero in Exercise 4.

 

3. Illustrate how you graph a line if you know a point on the line and its slope.

 

4. Describe two ways in which you can interpret the slope -3/4 when using it to find another point on the graph of a line.

 

5. Assess Yourself List all the possible ways you know to graph the equation of a line. Which of these methods do you prefer and why?

 

6.

a. Graph 3x - 8y = 12.

b. Where does the line intersect the x-axis?

c. Where does the line intersect the y-axis?

d. What is the slope of the line?

 

7. Graph y + 5 = -2(x + 1) by using the slope and a point on the line.

 

8. Graph (2/3)x + (1/2)y = 3 by using the slope and y-intercept.

 

Graph

9. y = 2x - 3

 

10. 6y + 12 = 18

 

 

 


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