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Linear Relationships

Identify linear patterns, find rates of change, and write equations to describe lines.

29 Lessons374 Exercises

Points on a Line

Increasing by One

Removing Objects

Decreasing Rates

Nonlinear Relationships

Level Review

Finding Rates of Change

Rates from Points

Initial Conditions

Using Two Points

Level Review

Change per One

Identifying Slopes

Graph a Line

Computing Slopes

Coordinates to Slope

Putting it all together

Level Review

Proportional Relationships

Base Fees

Graphing Linear Functions

Finding the Constant Term

Finding the Linear Term

Interpreting a Function

Writing the Whole Expression

Level Review

Shifting a Line

Slope of a Line

Through a Point

Through Two Points

Point-Slope Form

Using Point-Slope Form

Equations in Point-Slope Form

Level Review

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Exponents and Radicals

Learn the core properties of exponents. Uncover their connection to radicals. Apply exponent rules alongside other fundamental operations.

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Course description

In this course, you'll understand linear functions by exploring real-world patterns where quantities change at a constant rate. You'll find rates of change from graphs and coordinates, work backward to discover initial values, and calculate the slope of a line based on two points. You'll graph lines with any slope and confidently work with linear relationships in multiple representations.


Topics covered

  • Recognizing linear vs. nonlinear relationships
  • Finding rates of change from graphs
  • Finding the initial value (y-intercept) of a linear function
  • Computing slope from two points
  • Graphing lines with given slopes