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Graphing from slope-intercept form y=mx+b

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ALEKS Functions and Advanced Algebra
Functions
3. Types of functions
3.1 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.

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
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