SOLUTION: f(2)=-3, f(-2)=5 Find the slope of the graph of the linear function f

Algebra ->  Functions -> SOLUTION: f(2)=-3, f(-2)=5 Find the slope of the graph of the linear function f      Log On


   

Question 189012This question is from textbook
: f(2)=-3, f(-2)=5
Find the slope of the graph of the linear function f This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since f(2)=-3, this means that we have the ordered pair (2,-3). This also means that if x=2, then y=-3


Also, since f(-2)=5 this means that we have the ordered pair (-2,5). This also means that if x=-2, then y=5


So this makes the first point and the second point .


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


m=%285--3%29%2F%28-2-2%29 Plug in y%5B2%5D=5, y%5B1%5D=-3, x%5B2%5D=-2, and x%5B1%5D=2


m=%288%29%2F%28-2-2%29 Subtract -3 from 5 to get 8


m=%288%29%2F%28-4%29 Subtract 2 from -2 to get -4


m=-2 Reduce


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