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Mathematics lessons for IB® Diploma Programme

Applications and Interpretation | Functions

Points, Lines, and Slopes (Oh My!)


  • 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

About the lesson

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.

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