Answer
$f(x)=2x+3$
Work Step by Step
To find the slope, take two points and find the $\frac{change-in-y}{change-in-x}$ (subtract and divide).
Example:
$(1,5), (2,7)$
$\frac{7-5}{2-1}$ = $2$
Your slope is $2$. To find $b$, take a point and plug it into the equation.
Example:
$(0,3)$
$3=2(0)+b$
$3=b$