Question

calculate the equation of the line that is parallel to the line y=4x-6 and passes through the point (5,8)

Answer 1

hint-parallel lines have same slopes.

Answer 2

what is the slope of y=4x-6?

Answer 3

4?

Answer 4

yes., now the equation of the required line is
y=4x+c. do you agree?

Answer 5

It will have the same slope because it is a parallel line. So we have a slope of 4.
Now we will use this formula : y - y1 = m(x - x1)
m = 4
y1 = 8
x1 = 5
now lets sub
y - 8 = 4(x - 5)
y - 8 = 4x - 20
y = 4x - 20 + 8
y = 4x - 12 <-- your equation