SOLUTION: write an equation for the linear function f, where f(3)= -2 and f(-5)=14

Algebra ->  Linear-equations -> SOLUTION: write an equation for the linear function f, where f(3)= -2 and f(-5)=14      Log On


   

Question 225302: write an equation for the linear function f, where f(3)= -2 and f(-5)=14
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
What they've given you here is 2 points:
(-2,3) and (14,-5).
To find the equation, we have to solve for the slope first:
m=%28y_1-y_2%29%2F%28x_1-x_2%29
Plug in the given points:
m=%283-%28-5%29%29%2F%28-2-14%29
Simplify:
m=8%2F-16
m=-1%2F2
Then we can use the following equation:
%28y-y_1%29=m%28x-x_1%29
%28y-3%29=-%281%2F2%29%28x-%28-2%29%29
Simplify the right hand side:
%28y-3%29=-%281%2F2%29x-1
Move the -3 over by adding it to both sides:
y=-%281%2F2%29x%2B2, which is our linear function.
Or, can be written as: f%28x%29=-%281%2F2%29x%2B2