Question

Write an equation for the line that is parallel to the given line and passes through the given point. y = x + 8; (4, 10)
a. y =x
b.y=x+6
c.y=x-6
d.y=x+6
which one is it? a,b,c,or d?

Answer 1

Do you want to know the option or the long answer?

Answer 2

i want to know the option...is it a,b,c,or d?

Answer 3

Sorry. I don't help that way.

Answer 4

can you tell me anything?

Answer 5

Yes, I can tell you many things. Giving you the option isn't one of them

Answer 6

can you tell me what to do to get the answer...

Answer 7

Yes, absolutely. the equation of a line in the slope-intercept form is y = mx +b,
where m is the slope and b is the offset.
It is given that the line is parallel to y = x + 8.
This means that the slope of both lines is equal.
In y = x + 8, can you tell me what is the slope, according to the slope-intercept form?

Answer 8

4,10?

Answer 9

no.
y = mx + b ------> equation 1
y = x + 8 ------> equation 2
can you tell me if you see any similarities in equations 1 and 2?

Answer 10

do i have to ad 8 to both sides?

Answer 11

No no. Just tell me if you see any similarities.

Answer 12

y-0x+8?

Answer 13

ok

Answer 14

0 times anything is 0.

Answer 15

i see similarities ....i think their similar

Answer 16

okay great.
y = mx +b
y = x +8.

Can you see that m is 1 in the second equation and b is 8?
Anyway, the two lines are parallel.
This means that the second line has slope 1.
this means, its equation in slope-intercept form is y = x + b.
This line passes through the point (4,10)
substitute x = 4 and y = 10 in the equation above and find b.

Answer 17

ok ill do that now

Answer 18

b=6 !?

Answer 19

yes, very good!
You are almost there!
So, what is the correct option?

Answer 20

b?

Answer 21

??

Answer 22

right. very good!

Answer 23

although b and d are the same equation according to your question.

Answer 24

thank you soo much now i wont struggle with these types of questions

Answer 25

you are welcome :)