finding slope

Question

will you help me find the slope for

 

AB = ?

AC = ?

BC = ?

 

The points are  A(-2,0), B(2,3) and C(5,-1)

 

1.  which slope is the steepest

 

2.  will ABC be a right angle?  why or why note

 

appreciate

Answer 1

The slope of a line from A to B is the change in y coordinate divided by the change in x.

m = (y' - y) / (x' - x)

 

so, for AB, m = (3 - 0) / (2 -(-2)) = 3/4

 

Plot this on graph paper to help visualize

 

solve the other 2 using the same procedure

 

to see if one angle is 90, check the pythagorean theorem (a^2 = b^2 + c^2), where a is the longest side.