Question

if f(x)=ax+b where a and b are constants, find a and b for f(1)=-4 and f(3)=2

Answer 1

So when x=1 y=-4 and when x=3 y=2

Answer 2

f(1)=a(1)+b
-4=a+b
and
f(3)=a(3)+b
2=3a+b

Answer 3

So you need to solve the two equations by substitution or elimination
-4=a+b
2=3a+b

Answer 4

you can just subtract both of them and eliminate b
and you will get -6=-2a

Answer 5

divide by -2 and a=3

Answer 6

now plug in a=3 and
-4=3+b
b=-7

Answer 7

So your solutions are a=3 and b=-7
@philosophia

Answer 8

thank youuu :) @TheSmartOne