Question

Can someone explain to me why 2/5-3=2/5-15/5?

Answer 1

15/5=3 so when you subtract either of them from 2/5, you get the same answer.

Answer 2

I don't understand why 3=15/5. I'm very confused as to why the whole number becomes that fraction and how do you know what the fraction value will be.

Answer 3

15/5 means ... 15 divided by 5

does 15 divided by 5 = 3?

Answer 4

\[\frac{15}{5}\Longleftrightarrow 15\div 5\]

Answer 5

OHH OK!!! So the fraction will always be whatever the division problem would be to get the whole number?

Answer 6

we also know that 3*1 = 3

and that 5/5 = 1

\[\frac{3}{1}*\frac{5}{5} = \frac{15}{5} = 3\]

Answer 7

yes; fractions are just dividing

Answer 8

12/3 = 4

18/9 = 2

Answer 9

You are a God sent!!! I have been so stressed over this work!!! Would you mind working through one problem with me so I know what I am doing?

Answer 10

post it and lets see

Answer 11

and if you have any white out handy; just erase that "group master" jargon .... its soo misleading

Answer 12

Lol. I was so confused by that!

Answer 13

Find the equation of the line having the given slope and containing the given point. m=6 (9,1). The equation of the line in slope-intercept form is y=?

Answer 14

y=6x-53

Answer 15

it is just an lcm concept
(2/5) + 3 on taking lcm it becomes (2 + 15)/5 ,then you split it into two
2/5 +15/5
hence they are equal

Answer 16

its simple\[3*5\div1*5\]

Answer 17

the point P(x,y), in this case (9,1)

and the slope m = 6, here

y = m(x-Px)+Py

Answer 18

y=2x+8?

Answer 19

y = 6(x-(9))+1

y = 6x -6(9) + 1

y = 6x -54 +1

y = 6x -53 is what I get for point intercept form

Answer 20

Forget what I just typed, that was the example problem. I get mixed up having to go back and forth!

Answer 21

y=6x-53?

Answer 22

m= 6; P(9,1); slope intercept form: y = 6x -53

by the steps i took

Answer 23

The next one is harder...

Answer 24

lol ..... bring it on!! :)

Answer 25

m=8/9, (8,-3)

Answer 26

not harder; just different numbers :)

y = mx -mPx +Py perhaps :)

Answer 27

y = (8/9)x -(8/9)*8 -3

Answer 28

would it be y+3=8/9x-4/2? Or am I wrong again on the fraction?

Answer 29

y = (8/9)x -64/9 -27/9

y=(8/9)x - 91/9

Answer 30

Why was it 91/9?

Answer 31

this is the part your having difficulties with

\[-(\frac{8}{9}*\frac{8}{1})-(\frac{3}{1}*\frac{9}{9})\]

Answer 32

all ths amounts to is this:
\[\frac{-64-27}{9}\]

Answer 33

I feel like an idiot because my brain just won't wrap around the fraction part of it!

Answer 34

its important to remember that in order to add or subtract fractions; they need to be wearing the same pants.... otherwise they dont want to talk to each other...

Answer 35

multiplying fractions? they are fine with that .... but to join the group? you gotta have the right clothes on

Answer 36

what number can we multiply by that doesnt change the value of a number?

Answer 37

8 * ? = 8?

Answer 38

1

Answer 39

thats right; 1 seems pretty useless; but it really how we WRITE '1' that matters

Answer 40

So figure out the simplified fraction?

Answer 41

does anything over itself = 1?

3/3 = 1 ?

125/125 = 1 ?

b/b = 1 ?

Answer 42

yes

Answer 43

so we have a way in which we can "multiply" by '1' and change the way a fraction LOOKS; but keeps the same value right?

Answer 44

Thank you dearly for your patience with me!

Answer 45

yes

Answer 46

so lets use that to our advantage :)

- 8 8 -64
--- * -- = ---- right?
9 1 9

Answer 47

Yes!

Answer 48

but we get stuck here; becasue they arent wearing the same pants right?

-64 3
---- - ---
9 1

Answer 49

This is where I get lost. How do you know that they aren't wearing the same pants? Again, sorry for all the questions. I just really need to learn and understand everything.

Answer 50

-64/9 has on a 9 under it; its pants are a size '9' -64/9 ; pants are properly called a denominator

3/1 has a 1 under it; its pants are a size '1' right?

Answer 51

yes

Answer 52

so lets see if there is any outfits in the closet to redress the 3/1 in to match the pants of -64/9

1 * ? = 9 ??

Answer 53

9

Answer 54

good; we have something that fits :)

3 9 27
-- * -- = --- <-- now we are dressed to mingle with the -64/9
1 9 9

Answer 55

-64 -27 -64-27 -91
--- + ---- = ------- = ---- <-- this is true right?
9 9 9 9

Answer 56

yes

Answer 57

do you see how that happened tho?

Answer 58

so you can multiply something with the one that doesn;t fit to make to match?

Answer 59

yes.... fractions will multiply like rabbits with no regard for what they look like.....

Answer 60

Ok, do you mind moving onto the next problem or do you need to go?

Answer 61

as long as you are getting the principals underneath this fraction stuff; im good to go to the next one :)

Answer 62

OK, here we go.... :)

Answer 63

Find an equation of the line containing the given pair of points. (-2,-4) (-8,-1)

Answer 64

'an' equation? no particular form?

Answer 65

I got a slope of -3/6. Is that right?

Answer 66

m=y2-y1/x2-x1= is the formula

Answer 67

slope = (change in y)/(change in x) and I like to stack my points to keep track of them:

( x , y )
(-2,-4)
-(-8,-1)
--------
( 6, -3); slope = y/x = -3/6 = -1/2

Answer 68

So always simplify the answer?

Answer 69

always? ..... most math tests and class WANT you to so yeah.

Answer 70

-3/3 -1
----- = ----
6/3 2

Answer 71

So then we would move onto, y-(-1)=-1/2(x-(-8))

Answer 72

yes; for point slope form of a line that would be good

Answer 73

y+1=-1/2x+4?

Answer 74

.... -4

Answer 75

-1/2x8/1=8/2 or 4?

Answer 76

-1 8 -8
--- * --- = ---- = -4
2 1 2

Answer 77

y=-1/2x-3?

Answer 78

close....

y+1 = (-1/2)x -4
-1 -1
-----------------
y =(-1/2)x -5

Answer 79

y=-1/2x-5!

Answer 80

thats better :)

Answer 81

Write an equation in standard form of the line passing through the given pair of points. The line goes through (2,4) (2,2). what is the equation?
x+y=4
x=2
y=4
or undefined

Answer 82

A whole new equation to confuse me, lol.

Answer 83

well; I can see that the x parts are the same; so it really doesnt matter what the y parts are....

(2,y) satisfies this; so, x=2

Answer 84

So if the x's are the same, it would just be x=whatever the number is?

Answer 85

thats right; since x always = that number; the equation is: x = that number :)

Answer 86

:) I am beginning to get a little more confident!

Answer 87

write an equation of the line containing the given point and parallel to the given line. (9,-2); 6x-7y=4. the equation of the line is y=?

Answer 88

Would I plug in the points of the x and y in the equation 6x-7y=4 or 6(9)-7(-2)=4?

Answer 89

parralel points hav ethe same equation; just a different 'sum'; so ignore the "=4" part and fill in your x and y values to get a new one

Answer 90

Wow! I am wrong on this one!

Answer 91

6(9) -7(-2) = new sum for parallel line

54 +14 = n

68 = n

6x -7y = 68

Answer 92

you probably missed your sign

Answer 93

Now, I have to figure out the slope so I can continue to y=?

Answer 94

why ? what form of the line equation you need?

Answer 95

The help topics first suggestive step is 6x-7y=4 should be to subtract 6x from both sides.

Answer 96

So -7y=4-6x?

Answer 97

6x -7y = 68 is an equation for a line

y+2 = -6/7(x-9) is the same line

y = -6/7x +68/7 is the same line

6x 7y
--- - --- = 1 is the same line
68 68

there are many "forms" for the equation of a line to take; and all of them are equally valid

Answer 98

....and I missed the -7 in my head lol