SOLUTION: Find the slope of the line containing the given pair of points. If the line is undefined, state so. Please be sure to show all of your work. (3, 7) and (-5, 1)

Algebra ->  Graphs -> SOLUTION: Find the slope of the line containing the given pair of points. If the line is undefined, state so. Please be sure to show all of your work. (3, 7) and (-5, 1)      Log On


   

Question 475681: Find the slope of the line containing the given pair of points. If the line is undefined, state so. Please be sure to show all of your work.
(3, 7) and (-5, 1)
Found 2 solutions by jim_thompson5910, mananth:
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=3 and y%5B1%5D=7.
Also, is the second point . So this means that x%5B2%5D=-5 and y%5B2%5D=1.


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


m=%281-7%29%2F%28-5-3%29 Plug in y%5B2%5D=1, y%5B1%5D=7, x%5B2%5D=-5, and x%5B1%5D=3


m=%28-6%29%2F%28-5-3%29 Subtract 7 from 1 to get -6


m=%28-6%29%2F%28-8%29 Subtract 3 from -5 to get -8


m=3%2F4 Reduce


So the slope of the line that goes through the points and is m=3%2F4

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
3 7 -5 1

slope m = (y2-y1)/(x2-x1)
( 1 - 7 )/( -5 - 3 )
( -6 / -8 )
m= 0.75 OR 3/4