Answer
Yes, any equation in point-slope form can also be written in slope-intercept form.
Work Step by Step
All we would need to do to go from point-slope form to slope intercept form is solve the equation for $y$.
For the equation $y-1=2(x+1)$, which is in point slope form, the first step is to apply the distributive property to the right side of the equation: $y-1=2x+2$
Next, we add $1$ to each side of the equation, putting it into slope-intercept form: $y=2x+3$