Question 110473
y-1=2(x+1) First, get rid of parens (distributive law)

y-1=2x+2 add 1 to and subtract 2x from both sides

y-1+1-2x=2x-2x+2+1  collect like terms

y-2x=3  multiply each term by -1 and rearrange (NOTE:  SEE BELOW)

2x-y=-3 standard form where:

A=1, B=-1, C=-3

Another "standard form" for this equation is the slope-intercept form or:

y=mx+b  where m is the slope and b is the y intercept
Take the equation 
y-2x=3  add 2x to both sides and we get:

y-2x+2x=2x+3  collect like terms

y=2x+3  where m=2 and b=3


Hope this helps--ptaylor