find an equation of the line that passes through (0,7) and is parallel to y=1/4x+4, what is the equation of the line

Question

anonymous · Answer

The first thing you need to know to solve this problem is that

y = 7
x = 0
and
m (your slope) = 1/4

in this equation....

anonymous · Answer

Now, the next thing you have to do, is you have to plug-in those variables... So...

7 = 1/4(0) + b

note: b is your y intercept...

anonymous · Answer

Now you would simplify this to get the value of b... 

7 = 0 + b
7 = b

Now you can find your answer:

y = 1/4x + 7 is parallel to y = 1/4x + 4

anonymous · Answer

To find the parallel line you could use this equation: y-y1=m(x-x1) So you would plug in your point that is given in the y1 and the x1. So it would be y-7=1/4(x-0) and the final thing you have to do is distribute. your final answer is y=1/4x+7. Remember parallel lines have the same slope :)