SOLUTION: If the points A(-1,1) and B(1,2) lie on a line m, what is the slope of line m?

Algebra ->  Surface-area -> SOLUTION: If the points A(-1,1) and B(1,2) lie on a line m, what is the slope of line m?       Log On


   



Question 253320: If the points A(-1,1) and B(1,2) lie on a line m, what is the slope of line m?

Found 2 solutions by jim_thompson5910, palanisamy:
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=1 and y%5B2%5D=2.


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


m=%282-1%29%2F%281--1%29 Plug in y%5B2%5D=2, y%5B1%5D=1, x%5B2%5D=1, and x%5B1%5D=-1


m=%281%29%2F%281--1%29 Subtract 1 from 2 to get 1


m=%281%29%2F%282%29 Subtract -1 from 1 to get 2


So the slope of the line that goes through the points and is m=1%2F2

Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Given, A(-1,1) and B(1,2)
Slope of the line AM is
m = ( Difference of y- coordinates)/( Difference of x- coordinates)
m = (1-2)/(-1-1)
m = -1/(-2)
m = 1/2