Find the slope intercept form of the equation of a line that

Find the slope intercept form of the equation of a line that is parallel to the given line and that passes through the given point :

(1) Parallel to y=4x-11,through (3,8)
(2) Parallel to x=-5,through (-6,-4)

Solution

1) Since the two lines are parallel, they have the same slope. So, the equation can be written as
y = 4x+b
Now, you plug in (3,8),
8 = 4*3+b => b = -4
Answer: y = 4x-4

2) Since the two lines are parallel, both lines are vertical lines. So, the equation is x = -6.
Answer: x = -6