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Grade 10
Develop algebraic and graphical reasoning through the study of relations
12. Describe and represent linear relations using words, ordered pairs, tables of values, graphs, and equations
12.3 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
MB Curriculum Aligned