Question

(1,1);y=x+12
Write an equation of line that passes through the given point and is parallel to the given line

Answer 1

parallel lines have the same slope
so find the slope from y = x + 12

y = mx + b, m is the slope

in put the slope in to y = mx + b

and then plug in (1, 1) in place of x and y respectively and solve for b

and then write y = mx + b

and plug in the slope and the value of b
b is the y-intercept in y = mx + b

show your work and I can check over it or guide you further :)