Write the equation of the line in slope intercept form that is parallel to the line x - 4y = 8 and passes through the point (2,2).

Answer 1

y = mx + b

Parallel lines have the same slope, so

m = -1/-4 = 1/4

y = x/4 + b

Now use the given point (2,2) to find b.

2 = 2/4 + b

Solve for b, plug it into

y = x/4 + b,

and you are done.