Calculating Slope from Two Points on a Graph

This interactive worksheet helps students develop a strong understanding of slope as rate of change by working directly from graphs. Students select two points on each line, record their coordinates, and apply the slope formula to calculate slope values. By comparing multiple lines on the same graph, learners connect algebraic calculations with visual meaning.


The worksheet also supports randomization. When enabled, every student receives a different set of lines with unique slopes and different point locations, ensuring individualized practice and reducing copying. This makes the activity ideal for classwork, homework, stations, or assessments.


Students will:

  • Identify coordinates of points on a graph
  • Use the slope formula to calculate slope from two points
  • Compare positive and negative slopes
  • Analyze steepness and direction of lines
  • Connect graphical representations to algebraic reasoning


Perfect for:

  • 8th-grade slope and linear relationships
  • Reinforcement of rate of change concepts
  • Independent or small-group practice
  • Formative assessment with built-in variation


This worksheet provides clear structure, visual learning, and meaningful practice to help students truly understand how slope describes the behavior of a line.

Learning Objective

Students will calculate the slope of a line by identifying coordinates of two points and applying the slope formula. They will compare slopes to understand how direction and steepness represent the rate of change on a graph.

Randomization Available

This worksheet supports randomization. When enabled, each student will receive a different set of lines with unique slopes and different point locations on each line, ensuring individualized practice and preventing copying.

💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.

Calculating Slope from Two Points on a Graph
Grade Level
8
Type
Skill Mastery
Duration
20 minutes
Auto-Graded
Yes
Randomized
Yes
Topics
Solving Equations, Linear Equations
Tags
Practice WorksheetTabular FormatDrill & PracticeGraph-Based