3. Functions and Graphs

Write the Point-Slope Form of the Equation of a Line

Linear Functions and Slope

y-y1 = m(x - x1) Find the Equation of a Line Using Point-Slope Form

Graphing Lines in Slope-Intercept Form (y = mx + b)

Create appropriate linear relationships by graphing

Find the Slope of a Line Passing Through Two Given Points

Find the Linear Function Passing Through Two Given Points

Finding the equation and slope of a vertical line

In Exercises 41–44, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (-3, 2) with slope - 6

Secant Line: Finding an Equation for a Secant Line

Graphing Linear Functions by Finding X,Y Intercept

Graph lines in standard form

Ex 1:  Graph a Linear Equation in Standard Form Using the Intercepts

Find the slope of a linear function using two points

General form of a linear equation

Finding the Slope of a Line

Graph function not written in slope-intercept form

Linear Regression - Least Squares Criterion  Part 1

Graphing a Line Using a Point and Slope

Increasing, Decreasing, Horizontal and Vertical Lines

Finding a Mathematical Expression to Model a Situation - Basic Example

Slope-Intercept Form of the Equation of a Line

Definition of a Linear Equation In Two Variables

 Find the Slope of a Line Given in Standard Form

 Equations of Horizontal and Vertical Lines

 Point-Slope Form of the Equation of a Line

Graphing a Linear Equation using Intercepts

Graph lines in slope intercept form

Create the appropriate linear relationship by using a table to find the intercepts

In Exercises 37–40, find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-1, -2) and (-3, -4)

Graphing a Simple System of Equations

How to Graph Linear Equations Special Lines Horizontal Vertical Lines

In Exercises 33–34, find and simplify the difference quotient [f(x + h) - f(x)]/h, h =/= 0 for the given function. f(x) = -2x^2 + x + 10

In Exercises 41–44, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (-3, 6) and perpendicular to the line whose equation is y = (1/3)x + 4

Graphing Lines in Standard Form (ax + by = c)

Linear Regression - Least Squares Criterion  Part 2

Graphing Lines in Algebra: Understanding Slopes and Y-Intercepts

Solve real world problems using slope and y-intercept

Graph lines in point slope form

In Exercises 41–44, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (4, -7) and parallel to the line whose equation is 3x + y - 9 = 0.

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

College Algebra

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1. Fundamental Concepts of Algebra

2. Equations and Inequalities

4. Polynomial and Rational Functions

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

8. Conic Sections

9. Sequences, Induction, and Probability

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Verify Inverse Functions

Find the Inverse of a Function

Determine if a Function Has an Inverse Function (Using Horizontal Line)

Graph Inverse Function (use one-to-One Function graph)

Find the Inverse of a Function and Graph Both Functions 

Inverse Functions

Find Slopes and Equations of Parallel and Perpendicular Lines

Interpret Slope as Rate of Change

Find a Function's Average Rate of Change

More on Slope

Recognizing Graphs of Common Functions

Use Vertical Shifts to Graph Functions

Use Horizontal Shifts to Graph Functions

Use Reflections to Graph Functions

Use Vertical Stretching and Shrinking to Graph Functions

Use Horizontal Stretching and Shrinking to Graph Functions

Graph Functions Involving a Sequence of Transformations

Transformations of Functions

Find the Domain of a Function

Combine Functions Using the Algebra of Function

Form Composite Functions

Determine Domains for Composite Functions

Write Functions as Compositions

Combinations of Functions; Composite Functions

Find the Domain and Range of a Relation

Determine Whether a Relation is a Function

Determine Whether an Equation Represents a Function

Evaluate a Function

Graph Functions by Plotting Points

Use the Vertical Line Test to Identify Functions

Obtain Information About a Function From Its Graph

Identifying the Domain and Range of a Function From Its Graph

Identify Intercepts from a Function's Graph

Identify Intervals on Which a Function Increases, Decreases, or Is Constant

Use Graphs to Locate Relative Maxima or Minima

Test for Symmetry

Identifying Even or Odd Functions and Recognize Their Symmetries

Understand and Use Piecewise Functions

Find and Simplify a Function's Different Quotient

Basics of Functions and Their Graphs

Calculate a Line's Slope

Write and Graph the Slope-Intercept Form of the Equation of a Line

Graph Horizontal and Vertical Lines

Recognize and Use the General Form of a Line's Equation

Use Intercepts to Graph the General Form of a Line's Equation

Model Data with Linear Functions and Make Predictions

Find the Distance Between Two Points

Find the Midpoint of a Line Segment

 Standard Form of a Circle's Equation

Center and Radius of a Circle Whose Equation Is in Standard Form

Convert the General Form of a Circle's Equation to Standard Form

Distance and Midpoint Formulas; Circles

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Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

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Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

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Precalculus

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Building Great Presentations

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Critical Thinking And Problem Solving

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Embracing Times Of Uncertainty

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Emotional Intelligence Basics

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Enhancing Your Critical Thinking Skills

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Habits To Win Every Day

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Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

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Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

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Mistakes To Avoid When Resolving Conflict

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Overcoming Decision Making Traps

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Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

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Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities