Question

what is the x-intercept of y-3=3(x+1)

Answer 1

once you distribute the 3 throughout you will end up with y-3=3x+3 from there you would add the 3 over and end up with y=3x+6 and 3 would be your intercept

Answer 2

So, the x-intercept is where the x crosses on the y-axis.

If I plug this equation in (it is in point-slope), 

I graphed this on desmos,

The x-intercept is equal to 0.  (it crosses at the origin, or 0)

x-intercept= 0 <=== the answer

I hope this helps!
~kaikers