Question

a

Answer 1

http://video.answers.com/learn-about-parallel-perpendicular-intersecting-and-coinciding-lines-285014411

I think that video will help

Now to answer your questions:

So you have the Line y=4x+8
what makes a line perpendicular?
a perpendicular line not only intesects
but it forms congruent adjacent angles
or a T - Shape
Since you have two lines, they will form a 90 degree angle or right angles
so to do that we have to get the opposite reciprocal slope of the line
b (y-intercept) stays the same, only the slope changes
so in your line m=4
what is the opposite reciprocal?
the reciprocal is 1/4
the opposite would be -1/4

so if your original slope was -4
the opposite reciprocal would be 1/4

So now you plug in the new slope into the line
make sure you keep b the same
y=-1/4x+8

Answer 2

which equation is parallel and which is perpendicular

Answer 3

oh ok i forgot the parallel.
what i did up there is the perpendicular.

so in order for two lines to be parallel they can never touch.
this one is easier to understand in my opinion because the only way you can do that is
if the Slope is the same
why? because if it was different at some point they cross.
so the only thing in here that need to change is b
in your original equations y=4x+8, just change b to whatever you'd like
so you can do y=4x+2
y=4x-4 just make sure the slope is the same

Answer 4

so y=4x+2 is the eq for parallel

Answer 5

yep you can make +2 anything you want

Answer 6

don't just copy my answers either, make sure you understand this completely.
do other practice problems. watch the videos? ask questions

Answer 7

y=mx+b
m is the slope
parallel lines share the same slope
perpendicular lines slopes are negative reciprocals to each other

Answer 8

thats not the right answer for parallel...

Answer 9

I am telling you that you can change b all you want
if you are checking your answer off somewhere they probably
changed it to something else. but all you need to keep is the slope
it is find if they have a different b. or how else do you know it is not right?

Answer 10

ok you're given the line y = 4x + 8 and the point (4,7)
from what a wrote above, we know the slope of this line is 4

now for a parallel line, we know that the slope of that line is equal to 4
so we substitute all our information into point-slope form
\[y-y_1=m(x-x_1)\]
and then do the necessary operations to get slope intercept form
y=mx+b

and then you have the equation of a parallel line that runs through point (4,7)

Answer 11

yah the website says its wrong when i change it

Answer 12

i got y=4x-9

Answer 13

now for a perpendicular line running through point (4,7)
from what i stated above, the slope of a perpendicular line must be opposite recipocal of each other
the opposite reciprocal of 4 would be -1/4
which i think lethal stated earlier

now we do the same thing we did for finding a parallel line
substitute the slope -1/4 and the point (4,7) into point slope form
then change that to slope intercept form to get the equation for a perpendicular line

Answer 14

So this is the parallel equation?
y=4x-9

Answer 15

no idea, gimme a second to check

Answer 16

seems right

Answer 17

this is my last attempt to enter it in the online thing, I NEED to KNOW that its right

Answer 18

y-7=4(x-4)
y-7=4x-16
y=4x-9
do you see anything wrong with this calculation?

Answer 19

if not then thats your answer

Answer 20

Oh gosh now i see. I forgot that they gave you a point.
So they gave you (4,7)
x1=4 and y1=7
now all you do is plug this in to the y=mx+b or use point- slope formula
i just use the first one, but most use the point-slope formula so that is what i will do
y-y1=m(x-x1)
so plug in your coordinates to the formula including your slope 4
y-7=4(x-4)
ok lets distribute
y-7=4x -16
now add the 7 to isolate the y on the left
+7 +7
y=4x -9 is your final answer
so yeah just use the coordinate they give you

Answer 21

it worked thanks :)

Answer 22

are you doing webworks?