Question

If f(x) = $\alpha$x + $\beta$, and f = {(1,1), (2,3), (3,5), (4, 7)}, then $(\alpha ,\beta )$=

• A. (2,-1)
• B. (-2,1)
• C. (3,-1)
• D. (-2, -1)

Answer 1

The correct option is A

(2,-1)

$f\left(1\right)=1f\left(2\right)=3\Rightarrow \alpha +\beta =1,2\alpha +\beta =3$

Solving we have $\alpha =2,\beta =-1$