Overview

Integrated Math I

18. CC.HSF.IF.B.4

18.4 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

Describing real-life scenarios from distance-time graphs

Calculating costs using linear relationships and intercepts

Drawing graphs based on written scenarios and rate descriptions

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:

Draw on coordinate planes Horizontal and vertical distances Relationship between two variables

This Unit Includes

4 Video lessons

Learning resources

Skills

Intercepts

Linear Relationships

Slope

Distance-Time Graphs

Rate of Change

Real-World Applications

Graph Interpretation

OH Curriculum Aligned