Algebra Tutorials!    
         
  Sunday 27th of May      
 
   
Home
Scientific Notation
Notation and Symbols
Linear Equations and Inequalities in One Variable
Graphing Equations in Three Variables
What the Standard Form of a Quadratic can tell you about the graph
Simplifying Radical Expressions Containing One Term
Adding and Subtracting Fractions
Multiplying Radical Expressions
Adding and Subtracting Fractions
Multiplying and Dividing With Square Roots
Graphing Linear Inequalities
Absolute Value Function
Real Numbers and the Real Line
Monomial Factors
Raising an Exponential Expression to a Power
Rational Exponents
Multiplying Two Fractions Whose Numerators Are Both 1
Multiplying Rational Expressions
Building Up the Denominator
Adding and Subtracting Decimals
Solving Quadratic Equations
Scientific Notation
Like Radical Terms
Graphing Parabolas
Subtracting Reverses
Solving Linear Equations
Dividing Rational Expressions
Complex Numbers
Solving Linear Inequalities
Working with Fractions
Graphing Linear Equations
Simplifying Expressions That Contain Negative Exponents
Rationalizing the Denominator
Decimals
Estimating Sums and Differences of Mixed Numbers
Algebraic Fractions
Simplifying Rational Expressions
Linear Equations
Dividing Complex Numbers
Simplifying Square Roots That Contain Variables
Simplifying Radicals Involving Variables
Compound Inequalities
Factoring Special Quadratic Polynomials
Simplifying Complex Fractions
Rules for Exponents
Finding Logarithms
Multiplying Polynomials
Using Coordinates to Find Slope
Variables and Expressions
Dividing Radicals
Using Proportions and Cross
Solving Equations with Radicals and Exponents
Natural Logs
The Addition Method
Equations
   
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.


Graphing Linear Equations

Using the Slope-Intercept Method

Objectives

1. Determine the slope of a line from the graph.

2. Determine the slope of a line from two points on the line.

3. Determine the slope of a line from its linear equation in 2 variables.

4. Graph a linear equation in 2 variables using the slope-intercept method.

The slope of a line is the ratio of the amount of rise to the amount of run,

Slope is positive if the line rises.

Slope is negative if the line falls.

Slope is zero if the line is horizontal.

Slope is undefined if the line is vertical.

Slope of a line through 2 given points:

Given 2 ordered pairs, (x1, y1) and (x2, y2)

Slope intercept form of a linear equation:   y = mx + b

m is the slope

b is the y-intercept

Note that the coefficient of y must be 1!!

To Graph when you know a point and the slope:

1. Plot the known point.

2. Count the rise and run from the known point. For a positive rise, count upward. For a negative rise, count downward. For a positive run, count to the right. For a negative run, count to the left. ( hint: if the slope is a whole number, make it a fraction over one)

3. Place the second point where the next ordered pair is located based on your counting above.

4. Draw a line (not a segment!) connecting the 2 points.

Examples: Graph a line that contains

a) the point (1, -3) with

b) the point (2, 5) with m = -4

To graph a line using the slope-intercept method:

1. Put the equation in slope-intercept form (solve for y )

2. Determine the slope and y -intercept from the equation.

3. Plot the y -intercept.

4. Locate the next point in the line by counting the slope.

5. Draw a line (not a segment) connecting the 2 points.

Examples:

c) y = -2 x + 4

d) 6 x + 3 y = -9

e) 4y = 14

Copyrights © 2005-2018