Question

write an equation of the line parallel to y=8x-1 that contains (-6 2)

Answer 1

The point-slope form. When two lines are parallel, they are to have the same slope, right?
So what's the slope of y = 8x - 1 ?

Answer 2

well I got (1,-7)

Answer 3

That's a point... it's not even on the line y = 8x - 1....
Here's a hint
If your line equation has the form
y = mx + b
then m is your slope

So... what then is the slope of
y = 8x - 1
?

^.^

Answer 4

sorry. my computer froze. Okay. So I got -8/1. Is that right?

Answer 5

No...
given your equation of the form
y = mx + b

m itself, is the slope... get it?

Answer 6

oooooooh! Okay! I think I'm starting to understand a little bit.

Answer 7

So... verdict?
What's the slope of
y = 8x - 1?

Answer 8

is it 8? Sorry if I'm getting this wrong. I really am bad at math. I'm trying to double check my work.

Answer 9

because 8/1=8?

Answer 10

No, you're not bad at maths, just nervous, I reckon :)
y = mx + b
is something of a godsend when considering linear functions
Here's an example...
y = 3x + 4
3 is the slope

y = -4x -9
-4 is the slope

y = 2x - 218
2 is the slope


getting it? :)

When you have the form y = mx + b
whatever is the coefficient (m) of x, THAT is the slope, regardless of b.

So, can you now say with full confidence what the slope of
y = 8x - 1
is?
^.^

Answer 11

8 is the slope.

Answer 12

That's correct.
Now when two lines are parallel, they should have the same slope, right?

So you're asked to construct a line, with slope 8, and passing through the point (-6 , 2)
Any ideas how to go about this?

Answer 13

(-6 , 2)
sorry

Answer 14

so would it be 8(-2/6)=

Answer 15

I'm not too sure on how to solve this

Answer 16

do i divide?

Answer 17

Well, given a point (a,b) and a slope m
the line having the slope m and passing through the point (a,b)
has the equation

y - b = m(x - a)
OR
y = mx - ma + b
Now, just plug in :)

Answer 18

y-1=8(6-2)
is that it?

Answer 19

How did you get y - 1?
You have the point (-6 , 2)
and the slope 8...

so just plug in the formula
y = mx - ma + b

Answer 20

I think I've got this down now for my assignment. thanks so much for the help. :)

Answer 21

No problem :)