Overview
Watch
Read
Next Steps
Overview
Mathematics Essentials 11
Patterns and Relations
7. Model real-world problems using functions, equations, inequalities and discrete structures
7.2 Understand relations between x- and y-intercepts
X- and Y-Intercepts
The x-intercept is where a line crosses the x-axis (y = 0); the y-intercept is where it crosses the y-axis (x = 0).
What You'll Learn
The x-intercept is where a line crosses the x-axis, where y = 0.
The y-intercept is where a line crosses the y-axis, where x = 0.
To find the x-intercept, substitute y = 0 and solve for x.
To find the y-intercept, substitute x = 0 and solve for y.
Plotting both intercepts and connecting them draws the whole line.
What You'll Practice
1
Describing real-life scenarios from distance-time graphs
2
Calculating costs using linear relationships and intercepts
3
Drawing graphs based on written scenarios and rate descriptions
4
Interpreting startup costs and hourly rates from graph features
Why This Matters
Understanding how x- and y-intercepts relate helps you solve real problems involving time, distance, and money. Whether calculating service costs, planning travel, or analyzing rates, this skill connects abstract graphs to everyday decisions you'll make throughout life.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Learning resources
Skills
Intercepts
Linear Relationships
Slope
Distance-Time Graphs
Rate of Change
Real-World Applications
Graph Interpretation
NS Curriculum Aligned