Section Exercises
1. Is it possible for a point plotted in the Cartesian coordinate system to not lie in one of the four quadrants? Explain. 2. Describe the process for finding the x-intercept and the y-intercept of a graph algebraically. 3. Describe in your own words what the y-intercept of a graph is. 4. When using the distance formula , explain the correct order of operations that are to be performed to obtain the correct answer. For each of the following exercises, find the x-intercept and the y-intercept without graphing. Write the coordinates of each intercept. 5. 6. 7. 8. 9. 10. For each of the following exercises, solve the equation for y in terms of x. 11. 12. 13. 14. 15. 16. For each of the following exercises, find the distance between the two points. Simplify your answers, and write the exact answer in simplest radical form for irrational answers. 17. and 18. and 19. and 20. and 21. Find the distance between the two points given using your calculator, and round your answer to the nearest hundredth. and
For each of the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points.
22. and
23. and
24. and
25. and
26. and
For each of the following exercises, identify the information requested.
27. What are the coordinates of the origin?
28. If a point is located on the y-axis, what is the x-coordinate?
29. If a point is located on the x-axis, what is the y-coordinate?
For each of the following exercises, plot the three points on the given coordinate plane. State whether the three points you plotted appear to be collinear (on the same line).
30.






