2.2.1 Tutorial

Slope= Rise/Run     

Given: (3, 3) find the slope, you could do this no problem, 3/3=1, so the slope of line (3,3) is 1

Now finding the slope for 2 different points isn’t much harder, the formula is Y2-Y1/ X2-X1

A positive slope is any line that has points in both quadrants 1 AND 3      

       2   1             2       1                                                              

       3   4             3        4

While a negative slope is any line that has points in both quadrants 2 AND 4

     2     1   2     1                                                      

  3        4   3   4

Parallel lines always have the SAME slope, m1=m2

Perpendicular lines always have negative reciprocals of each other: m1/1 perpendicular to -1/m2, when you multiply the slopes of any perpendicular lines together the product is always -1.

Vertical slopes are always undefined because of Y2-Y1/ X2-X1, and x-x=0 for a vertical line, and nothing can be divided by “0”, so therefore it is undefined.

The slope for horizontal lines are always 0 because Y2-Y1/ X2-X1, and y-y=0 no matter what for any horizontal line, and 0 divided by anything is always 0.

Find the slope:                                              Tell if +, -, vertical, or horizontal”

1)                                 2)                                               3)                         4)              5)          6)                                

 

 

       Perpendicular yes or no:                     Parallel or not?

7)                     8)                                 9)                     10)      

 

 

 

Find the slope:

11)                   12)                   13)                   14)                   15)