Sample Open-Ended Items This problem requires you to show your work and/or explain your reasoning. You may use drawings, words, and/or numbers in your.

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Sample Open-Ended Items This problem requires you to show your work and/or explain your reasoning. You may use drawings, words, and/or numbers in your answer. Your answer should be written so that another person could read it and understand your reasoning. It is important that you show all your work. 1.Construct a coordinate plane and label the axes. Plot the points M (4, 3), N (0, 5), and K (–2, 6) on the coordinate plane. Draw a line through the points. a.What are the slope and y-intercept of the line? b. Write the equation of the line in slope-intercept form. Show all your work and/or explain your reasoning for each part in the space provided in the answer document.

2. Wilson is making chocolate milk by adding chocolate syrup to white milk. The table below shows the amount of chocolate syrup needed for the amount of white milk. Chocolate Syrup (in teaspoons) White Milk (in cups) a.Create a coordinate plane and label the axes. Graph the data shown in the table as a line. b. What is the slope of the line?

3. Jenalysa was asked to graph the equation 3x + y = –4. a.Create a table with 4 ordered pairs that are on the line of the equation. b. Create a coordinate plane and label the axes. Graph the equation 3x + y = –4 using the ordered pairs from the table. c. What are the slope and y-intercept of the line?

4. Ashlynn was asked to graph the equation 4x + 5y = –20 a.What are the slope and y-intercept of the equation? b. Create a coordinate plane and label the axes. Draw the line of the equation 4x + 5y = –20 using the slope and y-intercept.

5. Malcolm wants to graph the equation y = x – 6. a.What are the slope and y-intercept of Malcolm’s equation? b. Create a coordinate plane and label the axes. Draw the line of the equation y = x – 6 using the slope and y-intercept.

6. Kenneth does not know how to graph the equation 4x – 3y = 9. Your teacher asked you to help Kenneth. a. Create a coordinate plane and label the axes. b. Graph the equation 4x – 3y = 9. c. Provide a set of instructions for Kenneth so that he will be able to graph this line or any other line in the future.

7. Create a coordinate plane and label the axes. Plot the points X (–3, –2) and Y (4, –5). Draw a line through the points, creating line XY. a.What is the slope of line XY ? b. Draw a line parallel to line XY passing through (0, 2) on your coordinate plane. c. Mathematically, explain why these two lines on your coordinate plane are parallel. Show all your work and/or explain your reasoning for each part in the space

8. The cafeteria sells packages of pretzels for the cost shown in the table below: Cost of Pretzels Number of Packages of Pretzels Cost 2$0.50 4$1.00 6$1.50 a.Create a coordinate plane and label the axes. b.Graph the data (which is shown in the table above) as a line. c.What is the slope of the line?

9. Abby wants to graph the equation y + 4 = 3x. a. What are the slope and y-intercept of the equation? b. Create a coordinate plane and label the axes. c. Draw the line of the equation y + 4 = 3x using the slope and y-intercept.