Question

write an equation of the line that passes through (1,6) and is parallel to the line 2y - 4x = 8

Answer 1

Forming 2y-4x=8 to y=mx+b form, we get
y=2x+4.

y=mx+b

Slopes are same for parallel lines, so:

y=2x+b

Plug in (1,6) to find your y-int.

6=2+b
b=4

so your final equation for a parallel line that passes through (1,6) is:

y=2x+4

and making that into ax+by form yields:

y-2x=4