Question

"write an equation for the linear function f satisfying the given conditions"
f(-3)=8 and f(1)=4

Answer 1

f(-3)=12

Answer 2

I need to know how to show my work for this type of problem

Answer 3

im in algebra 2 part 1 so....
do you want to put it into y=mx+b?

Answer 4

yes

Answer 5

ok take one problem
f(-3)=8
im going to solve for x first

Answer 6

\[f(-3)=8\]
add 3 to both sides
x=11

Answer 7

solve for y
f(1)=4
subtract 1 from both sides
y=3

Answer 8

plug x and y in to one equation

Answer 9

f(y)=mx+b
f(3)=1(11)+4
f(3)=7
subtract 3 from both sides
slope is 4

Answer 10

then its simple y=mx+b
3=4(11)+4

Answer 11

3=48?

Answer 12

im confused. I have to write an equation using the above f(-3)=8 and f(1)=4

Answer 13

Can you find two points using f(-3)=8 and f(1)=4?

Answer 14

(-3 , 1 ) ?

Answer 15

For f(-3)=8, there is an x of -3 and a y of 8 --> (-3,8)
For f(1)=4, there is an x of 1 and a y of 4 --> (1,4)

Answer 16

Oh ok, so now that I know my x's and y's how would I set that up as an equation showing my work

Answer 17

Use the equation \[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]
to find your slope and then you could either use y=mx+b or point-slope formula

Answer 18

thanks

Answer 19

You're welcome.