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

Algebra.Com
Question 225302: write an equation for the linear function f, where f(3)= -2 and f(-5)=14
Answer by LtAurora(115)   (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:

Plug in the given points:

Simplify:


Then we can use the following equation:


Simplify the right hand side:

Move the -3 over by adding it to both sides:
, which is our linear function.
Or, can be written as:

RELATED QUESTIONS

write an equation for a linear function f that has the given values f(-3) =2 and f(1)=0 (answered by Theo)
write an equation for the linear function f satisfying the given conditions 1. f(3)=4... (answered by Edwin McCravy)
For a linear function f, f(-1)=3 and f(2) = 4. Find an equation for f. Find... (answered by richwmiller)
Write an equation for a linear function f that has the given values: f(-5) = 9 and... (answered by josgarithmetic)
Find an equation for the linear function f for which f(3)=7 and... (answered by jim_thompson5910)
Write a linear function where f(2)=4,f(4)=2 and... (answered by MathDazed,MathLover1)
How do you solve questions like f(0)=2, f(2)=4 and write an equation for the linear... (answered by Edwin McCravy)
write an equation for the linear function f with the given values. f(0)=-1,... (answered by jim_thompson5910)
Write an equation for the linear function (f) with the given value f(6)=3,f(9)=15 (answered by Fombitz)