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Mathematics 10
Relations and Functions
10. Demonstrate understanding of slope with respect to rise and run, line segments, rate of change, parallel and perpendicular lines
10.2 Graphing from slope-intercept form y=mx+b
Graphing from slope-intercept form y=mx+b
What You'll Learn
Identify the slope (m) and y-intercept (b) from equations in y=mx+b form
Plot the y-intercept as your starting point on the coordinate plane
Apply rise over run to find additional points using the slope
Convert equations from standard form and point-slope form into slope-intercept form
Graph linear equations accurately using intercepts and slope
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
Skills
Slope-Intercept Form
Graphing
Linear Equations
Slope
Y-Intercept
Rise Over Run
Coordinate Plane

NS Curriculum Aligned