Free Algebra
Tutorials!
 
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.


Positive and Negative Slopes

A line with a positive slope slants upward as we move from left to right on the graph.

Each line shown has a positive slope.

To verify this, we can choose any two points on a line and find the slope.

For example, we will find the slope of line A.

Example 1

Find the slope of line A.

Solution

Choose any two points on line A.

For example, choose (-2, -5) and (4, 5).

Let (x1, y1) = (-2, -5) and (x2, y2) = (4, 5). m
Substitute the values in the slope formula.  
Simplify.  
Reduce.  
The slope of line A is a positive number, .    
 

Line A slants upward as we move from left to right on the graph, so we expected a positive slope.

A line with a negative slope slants downward as we move from left to right on the graph.

Each line shown has a negative slope.

To verify this, we can choose any two points on a line and find the slope.

For example, we will find the slope of line J.

 

Example 2

Find the slope of line J.

Solution

Choose any two points on line J. For example, choose (-4, 0) and (4, -6).

Let (x1, y1) = (, 0) and (x2, y2) = (4, -6). m
Substitute the values in the slope formula.  
Simplify.  
Reduce.

The slope of line J is a negative number,

 

Line J slants downward as we move from left to right on the graph, so we expected a negative slope.

 
All Right Reserved. Copyright 2005-2018