In this activity students will explore the relationship between coordinates of points and locations on the coordinate plane, the relationships of lines with their equations, slopes and y-intercepts, and lastly, the slopes of parallel and perpendicular lines.

• Students will graph linear functions and determine properties such as slope and y-intercept, describe how both change as the graph is rotated and translated, and understand that the coordinates of a line are the solution set to the equation of the line.
• Students will show that lines with equal slopes are parallel and slopes that are negative reciprocals are perpendicular.
•  Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments

• Parallel
• Perpendicular
• Reciprocal
• Slope

In this activity, students will use coordinates to better understand that relationship, as well as the relationship between coordinates of points and their quadrant locations, slopes and y-intercepts, and parallel and perpendicular lines. 

Note:  An optional IB Question DOC/PDF has been provided in the downloads for students preparing for the IB exam.