Education Technology

Mathematics lessons for IB® Diploma Programme

Analysis and Approaches | Functions

A1 U3 Points on a Line_sm

Points, Lines, and Slopes (Oh My!)

Activity Overview

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.  


  • 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.


  • Parallel
  • Perpendicular
  • Reciprocal
  • Slope