Yes, if the question were y=2x+2,to get the x intercept you will need to rearrange the equation. Making it -2x+y=2 inserting a 0 in the y would make the x intercept -1.
If I were to change the "b" value into 3, the formula would be -2x+y=3. Insert the 0 in the y value would make the x intercept -3/2
Hence yes, it will make the x intercept change.