FreeAlgebra                             Tutorials!  
Finding the Greatest Common Factor
Factoring Trinomials
Absolute Value Function
A Summary of Factoring Polynomials
Solving Equations with One Radical Term
Adding Fractions
Subtracting Fractions
The FOIL Method
Graphing Compound Inequalities
Solving Absolute Value Inequalities
Adding and Subtracting Polynomials
Using Slope
Solving Quadratic Equations
Multiplication Properties of Exponents
Completing the Square
Solving Systems of Equations by using the Substitution Method
Combining Like Radical Terms
Elimination Using Multiplication
Solving Equations
Pythagoras' Theorem 1
Finding the Least Common Multiples
Multiplying and Dividing in Scientific Notation
Adding and Subtracting Fractions
Solving Quadratic Equations
Adding and Subtracting Fractions
Multiplication by 111
Adding Fractions
Multiplying and Dividing Rational Numbers
Multiplication by 50
Solving Linear Inequalities in One Variable
Simplifying Cube Roots That Contain Integers
Graphing Compound Inequalities
Simple Trinomials as Products of Binomials
Writing Linear Equations in Slope-Intercept Form
Solving Linear Equations
Lines and Equations
The Intercepts of a Parabola
Absolute Value Function
Solving Equations
Solving Compound Linear Inequalities
Complex Numbers
Factoring the Difference of Two Squares
Multiplying and Dividing Rational Expressions
Adding and Subtracting Radicals
Multiplying and Dividing Signed Numbers
Solving Systems of Equations
Factoring Out the Opposite of the GCF
Multiplying Special Polynomials
Properties of Exponents
Scientific Notation
Multiplying Rational Expressions
Adding and Subtracting Rational Expressions With Unlike Denominators
Multiplication by 25
Decimals to Fractions
Solving Quadratic Equations by Completing the Square
Quotient Rule for Exponents
Simplifying Square Roots
Multiplying and Dividing Rational Expressions
Independent, Inconsistent, and Dependent Systems of Equations
Graphing Lines in the Coordinate Plane
Graphing Functions
Powers of Ten
Zero Power Property of Exponents
The Vertex of a Parabola
Rationalizing the Denominator
Test for Factorability for Quadratic Trinomials
Trinomial Squares
Solving Two-Step Equations
Solving Linear Equations Containing Fractions
Multiplying by 125
Exponent Properties
Multiplying Fractions
Adding and Subtracting Rational Expressions With the Same Denominator
Quadratic Expressions - Completing Squares
Adding and Subtracting Mixed Numbers with Different Denominators
Solving a Formula for a Given Variable
Factoring Trinomials
Multiplying and Dividing Fractions
Multiplying and Dividing Complex Numbers in Polar Form
Power Equations and their Graphs
Solving Linear Systems of Equations by Substitution
Solving Polynomial Equations by Factoring
Laws of Exponents
index casa mío
Systems of Linear Equations
Properties of Rational Exponents
Power of a Product and Power of a Quotient
Factoring Differences of Perfect Squares
Dividing Fractions
Factoring a Polynomial by Finding the GCF
Graphing Linear Equations
Steps in Factoring
Multiplication Property of Exponents
Solving Systems of Linear Equations in Three Variables
Solving Exponential Equations
Finding the GCF of a Set of Monomials
Try the Free Math Solver or Scroll down to Tutorials!












Please use this form if you would like
to have this math solver on your website,
free of charge.


Objective Learn the concept of the slope of a line and to evaluate it for particular lines.

In this lesson, you will be introduced to the notion of the slope of a straight line. It is very important that you see many examples, and that you do many exercises by yourself. In these exercises, you should use the formula for slope so that you become familiar with using it. You should also write and solve your own exercises involving slope. It is desirable that you have grid paper for this lesson.



First, let's talk in intuitive terms about what is meant by slope. We can assign a number that allows us to measure the steepness of a straight line. Also, the greater the absolute value of this number, the steeper the line will be. If you draw a straight line with two points on it, A and B, there are two numbers attached to this pair of points, namely the rise and the run . The rise is how much higher B is than A in the vertical direction, and the run is how far over from A point B is in the horizontal direction.

Definition of Slope

Words The slope is the value of the quotient .


So far, we have talked about lines without placing them in the coordinate plane. Let's try to understand slope better by studying lines in the coordinate plane. Start by plotting the sequence of points (1, 1), (2, 2), (3, 3), and (4, 4) and try to find out what the pattern is. Find the value of y in ( -1, y ). Next, plot (1, 2), (2, 4), (3, 6), and (4, 8) on another coordinate plane and try to find out what the pattern is. What do the two sets of plotted points have in common? (Both sets of points lie on a straight line.)

The two points plotted at the figure above have coordinates (1, 2) and (2, 4). The rise is the difference between 4 and 2, so it equals 2. The run is the difference between 2 and 1, so it equals 1. The slope is the quotient or 2. Next, we choose two different points on the same line, say (0, 0) and (3, 6), and compute the slope again.

Key Idea

The slope is the same for any pair of points on the same straight line. Therefore, it is not necessary to refer to a particular pair of points when speaking of the slope of a line.

Note that the y-difference is the numerator and the x-difference is the denominator.


All Right Reserved. Copyright 2005-2018