Question

Find the linear function f(x) such that f(2)=-3 and f(6)=-5.

Answer 1

f(x)=0.5x-2

Answer 2

that doesn't work.

Answer 3

f(x)=0.5x-2 works...

Answer 4

sorry

Answer 5

no problem. nothing to be sorry about! :)

Answer 6

I worked it by finding the slope, and then substituting the values given in y = mx+c

Answer 7

Hes right, it doesnt work.

Answer 8

Would any of you mind showing me how you got there? Thanks :-)

Answer 9

the correct answer is f(x)=-1/2x-2 but I don't know how to get there.

Answer 10

go with what mandar suggested

Answer 11

elizated forgot to add the negative sign in his equation

Answer 12

Since it's a linear equation, the equation is a straight line.
The points given are (2, -3) and (6, -5)
Find the slope, and use y = mx+c -> f(x) = -0.5x +c
Find c using the values given in the problem statement.

Answer 13

well set up an x y chart:
x | y
0 -
1 -
2 -3
3 -
4 -
5 -
6 -5

then start filling in the missing numbers probably starting with 4: -4. since it's counting by 0.5, that's your slope. now wor back to zero and that's your y intercept.

Answer 14

woops, sorry it is negative. and i'm a girl by the way...

Answer 15

Thank you very much!