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Mathematics Essentials 11
Patterns and Relations
8. Represent functional relationships in multiple ways and describe connections
8.2 Graphing from slope-intercept form y=mx+b
Graphing from Slope-Intercept Form
In y = mx + b, plot the y-intercept b first, then use the slope m as rise over run to find a second point.
What You'll Learn
Slope-intercept form is y = mx + b, with slope m and y-intercept b.
Start by plotting the y-intercept (0, b).
Use the slope as rise over run to find a second point.
Draw a line through the two points.
This is one of several equivalent ways to graph a linear function.
What You'll Practice
1
Graphing lines when slope and y-intercept are given directly
2
Using rise over run in both positive and negative directions
3
Converting standard form equations to slope-intercept form before graphing
4
Finding x-intercepts to verify graph accuracy
Why This Matters
Graphing from slope-intercept form is the fastest way to visualize linear relationships in algebra. You'll use this skill constantly in higher math courses like pre-calculus and calculus, and it's essential for understanding real-world data trends in science, economics, and engineering.
Before You Start — Make Sure You Can:
This Unit Includes
6 Video lessons
Practice exercises
Learning resources
Skills
Slope-Intercept Form
Graphing
Linear Equations
Slope
Y-Intercept
Rise Over Run
Coordinate Plane
NS Curriculum Aligned