Find the equation of the line through point (−2,3) and parallel to y=x+1

Answer 1

y-3 = x+2

x-y = -5

the slope is the coefficient of the x term, or an implicit 1, m=1 in the general linear equation in point slope form

y-h=m(x-k) where (k,h) is the point (-2,3). Plug k=-2, h=3, m=1 into the general equation