help with this equation!?

Question

write an equation for the line that passes through (0,5) and is parallel to the line whose equation is 4x-y=3.

a. y= -1/4x+5
b. y=4x-3
c. y=1/4x+5
d. y=4x+5

please explain your answer! thanks! ;)

Answer 1

y = mx+ b

We want an equation in this form

Because (0,5) is on the y axis, 5 will be the y-intercept (b) in our equation:

y = mx + 5

Now to find m we use the other piece of information. Our new line must be parallel to 4x-y=3

Let's put this into y = mx+b form:

4x-y=3
4x=3+y
4x-3=y

y=4x-3

Two parallel lines have the same slope (m), so the slope of our new line is 4, just like in the above equation. So we get:

y = 4x + 5 is our answer

Answer 2

the line 4x-y=3 has a slope of 4.
So theline parallel to it must also have a slope = 4
Its equation is y=4x+b
Since the line passes through (0,5), we have:
5 = 4(0) +b so b = 5
So equation is y=4x +5

Answer 3

first you solve for Y

y=4x-3 so your slope is 4. A parallel line has teh same slope so eliminate a and c

Then you can plug in 0 for x into the b and d equations and see what you get. Whichever one gives you 5 for y is the one.

y=4(0)-3=-3
y=4(0)+5=5

so the right equation is d

Answer 4

4x-y=3 is the same as y = 4x -3 which has a slope of 4

you want to pass through (0,5) so y-5 = 4( x-0)
i.e y = 4x +5

Answer 5

hustolem is absolutely correct also the big hint was parallel so it has to be parallel to 4x if it had asked for perpindicular it would be 1/4x it would always be a 1 over the number.

Answer 6

I think it's d,but i'm not sure,
I have an advice:graph it out,compare that line to another line that can be parallel to it,find the answer

Answer 7

I have looked through your history, and you don't put best answers. Don't be rude, if we come to answer your questions, least you can do is pick best answer. Damn parasite.

Answer 8

i dunno