SOLUTION: The points (-1,1) and (2,3) determine a unique line. Find the slope of this line.

Algebra ->  Linear-equations -> SOLUTION: The points (-1,1) and (2,3) determine a unique line. Find the slope of this line.      Log On


   

Question 647744: The points (-1,1) and (2,3) determine a unique line. Find the slope of this line.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=-1 and y%5B1%5D=1.
Also, is the second point . So this means that x%5B2%5D=2 and y%5B2%5D=3.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%283-1%29%2F%282--1%29 Plug in y%5B2%5D=3, y%5B1%5D=1, x%5B2%5D=2, and x%5B1%5D=-1


m=%282%29%2F%282--1%29 Subtract 1 from 3 to get 2


m=%282%29%2F%283%29 Subtract -1 from 2 to get 3


So the slope of the line that goes through the points and is m=2%2F3