Linear equations, functions, & graphs

This course is a part of Algebra (all content), a 20-course Topic series from Khan Academy.

This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing linear equations/functions - Interpreting linear equations/functions - Linear equations/functions word problems

This course contains 14 segments:

Two-variable linear equations intro

Understand what a solution to an equation really means. Practice plugging in values for variables to see whether or not an equation is true.

x-intercepts and y-intercepts

Learn about intercepts and practice finding them from graphs, tables, and equations.

Slope

Learn about slope (the steepness of a line) and how to find it.

Horizontal & vertical lines

You know what horizontal and vertical lines are, but how do their equations look? And what is their slope? Learn all about it in this tutorial.

Intro to slope-intercept form

Make an introduction with the most common form of linear equations, slope-intercept form! For example, y=3x+5 is a linear equation in slope-intercept form.

Graphing slope-intercept equations

Learn how to graph linear equations that are given in slope-intercept form. For example, graph y=2x+3.

Writing slope-intercept equations

Learn how to write the equation of a line (in slope-intercept form) when given the graph of the equation or two points on the line. For example, write the equation of the line that passes through the points (0,1) and (5,4).

Point-slope form

(y-b)=m(x-a)

Standard form

ax+by=c

Summary: Forms of two-variable linear equations

Take an overview of the three main forms of linear equations: slope-intercept, point-slope, and standard. Learn which form is most appropriate for different uses.

Interpreting linear functions and equations

Solve word problems where you need to answer a question about a real-world relationship based on its mathematical model.

Comparing linear functions

Compare features of linear functions, such as slope and intercepts, where the functions are given in different forms—tables, graphs, or formulas.

Constructing linear models for real-world relationships

Learn how to represent real-world relationships (that are described verbally) with linear graphs, equations, or functions.

Linear models word problems

Solve general word problems about real-world relationships that can be modeled by linear equations or functions.