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Grade 10
Develop algebraic and graphical reasoning through the study of relations
13. Determine characteristics of linear relation graphs including intercepts, slope, domain, and range
13.4 Special case of linear equations: Vertical lines
Vertical Lines
An equation of the form x = c graphs as a vertical line, where every point shares the same x-value and slope is undefined.
What You'll Learn
An equation x = c (c a constant) graphs as a vertical line.
Every point on a vertical line shares the same x-value.
A vertical line has undefined slope, since its run is 0.
x does not change as y changes on a vertical line.
A horizontal line is the opposite special case, with slope exactly 0.
What You'll Practice
1
Writing equations for vertical lines given two points with same x-value
2
Determining vertical line equations from a single point
3
Identifying possible coordinates on a vertical line with undefined slope
Why This Matters
Understanding vertical lines completes your knowledge of special linear cases. Recognizing undefined slopes and vertical line equations is essential for graphing, analyzing functions, and solving real-world problems where certain values remain constant.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Learning resources
Skills
Vertical Lines
Undefined Slope
Linear Equations
Graphing
Coordinate Geometry
MB Curriculum Aligned