Home
Power of a Power Property of Exponents
Adding and Subtracting Rational Numbers
Point
Solving Equations with Radicals and Exponents
Quadratic Equations
Using Intercepts for Graphing Linear Equations
Graphing Linear Equations in Two
Exponents
Multiplying Fractions
Solving Linear Equations Containing Fractions
Evaluating Polynomials
Multiplication Property of Square and Cube  Roots
Writing a Fraction in Simplest Form
Square Roots
Inequalities
The Pythagorean Theorem
Factoring The Difference of 2 Squares
Solving Polynomial Equations
Roots and Powers
Writing Linear Equations in Standard Form
Solving Nonlinear Equations by Substitution
Straight Lines
The Square of a Binomial
Solving Equations
Adding and Subtracting Like Fractions
Point
Finding the Equation of an Inverse Function
Slope of a Line
Rules for Nonnegative Integral Exponents

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.


Point-slope Form for the Equation of a Line

Example 1

Find the equation of the line that passes through the point (-4, 7) with slope .

Solution

Use the point-slope formula. y - y1 = m(x - x1)
We are given the point (-4, 7), so let x1 = -4 and y1 = 7. y - 7 = m(x - (-4))
 The slope is . y - 7
Simplify the right side. y - 7
 So, the equation of the line is  
 

Example 2

Find the equation of the line that passes through the points (3, -3) and (6, -1).

Solution

First, find the slope of the line.    
Let (x1, y1) = (3, -3) and (x2, y2) = (6, -1).
Next, use the point-slope formula. y - y1 = m(x - x1)
We can use either given point. Let’s use (6, -1). y - (-1)
Simplify the left side. y + 1
So, the equation of the line is    
 

Note:

If we had used the other point, (3, -3), we would have obtained:

y - y1 = m(x - x1)
y - (-3)
y + 3

This equation is equivalent to since both simplify to .