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Grade 12 Advanced Functions, University Preparation (MHF4U)
D. Characteristics of Functions
52. 12AF.D1.6
52.1 Graphing linear functions using table of values
Graphing Using a Table of Values
Pick x-values, solve for their matching y-values, plot the points, and connect them to graph a linear function.
What You'll Learn
Choose a few x-values and substitute each into the equation.
Solve for the matching y-value to build an x-y table.
Plot each (x, y) pair as a point on the graph.
Connect the points with a straight line.
A table of values is one of several ways to graph a linear function.
What You'll Practice
1
Building tables with positive and negative x-values for linear equations
2
Graphing lines from equations like y = 3x - 1 using coordinate pairs
3
Working with decimal y-values when graphing fractional slopes
4
Simplifying standard form equations before creating tables
Why This Matters
Graphing linear functions using tables builds your foundation for understanding relationships between variables. This systematic approach helps you visualize equations, verify solutions, and prepares you for more advanced topics like systems of equations and functions in algebra and beyond.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Learning resources
Skills
Linear Functions
Graphing
Coordinate Plane
Table of Values
Slope-Intercept Form
Plotting Points
ON Curriculum Aligned