Question

http://prntscr.com/ktpbvm

Answer 1

@Vocaloid

Answer 2

so you basically need to go through the list and re-write all of them in y = mx + b form by solving each equation for y

Answer 3

can you write them in the form and I solve them orrr?
should I do it

Answer 4

like you just need to go one by one, starting w/

5x + 3y = 4

since we want "y" by itself we can subtract 5x to get

3y = -5x + 4

then dividing by three to isolate y gives us

y = -5/3 x + (4/3)

that's not what we want ( we want a + slope) so try B, C, and D

Answer 5

Not B

Answer 6

hmmmm either C or D im thinking C

Answer 7

hm, you sure?

5x - 3y = -4

3y = 5x + 4

dividing both sides by 3 gives us

y = (5/3)x + 4/3 which is exactly what the question is asking (positive slope + y-intercept as 4/3) so B is the best sol'n

Answer 8

Ohh I missed one step my bad

Answer 9

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Answer 10

your general form for point slope is

y - y1 = m(x-x1)

plug in (4,-8) as your (x1,y1) value and look for the answer choice with positive m value

Answer 11

be careful w/ signs

Answer 12

how about the y and m?

Answer 13

leave the x, y, and m alone for now

Answer 14

y - y1 = m(4- (-8))
solve like this?

Answer 15

x and y get left alone

x1 and y 1 get replaced with 4 and -8

so y - y1 = m(x-x1)
becomes y + 8 = m(x-4)

now see which answer choice has a positive m value with y + 8 and (x-4) remaining the same

Answer 16

D

Answer 17

notice how choice D has m = -4 which is negative so that's not it

Answer 18

C my bad just noticed it

Answer 19

yup good

Answer 20

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Answer 21

slope intercept is

y = mx + b

so look for positive m
and b = 3

Answer 22

A

Answer 23

or D but im leaning to A

Answer 24

notice how D has a neg. slope so it must be A

Answer 25

Yup
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Answer 26

oh lordy

anyway start by taking
y + 5 = -3(x-1)

distributing the -3, then subtracting 5 from both sides to isolate y, then combine like terms

Answer 27

−3x+3

Answer 28

so its
y + 5 = −3x+3

Answer 29

y + 5 = -3x +2

Answer 30

correct? and now combine like terms?

Answer 31

just be careful

you were right up to this point

y + 5 = −3x+3

then subtract 5 from both sides

Answer 32

I always have a hard time doing this part lol

Answer 33

just gotta remember, since 5 is a constant the y and x shouldn't be affected

Answer 34

y = -3x -2

Answer 35

awesome! that matches up perfectly w/ answer A but there is one more equivalent form

now take y = -3x - 2 and add 3x to both sides to convert to standard form

Answer 36

y = -3x - 5?

Answer 37

or no

Answer 38

hm not quite, remember we are adding 3x so the constants shouldn't be affected

so we get

y = -3x - 2

y + 3x = -3x - 2 + 3x

so 3x + y = -2 which are choices 1 and 3

Answer 39

Got it
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Answer 40

A? or D

Answer 41

if you re-write 2x + y = 4

you get y = -2x + 4 so that's -2 slope

D is a better choice

Answer 42

http://prntscr.com/ktpqkd

Answer 43

B or C

Answer 44

hoo boy

anyway our best bet is to find the slope between (-2,-2) and (4,10) first using the slope formula

Answer 45

and how do we do that?

Answer 46

pick one point to be your (x1,y1) and the other point to be your (x2,y2)

then find m = (y2-y1)/(x2-x1)

Answer 47

so (4-(-2)) / (-2-10)

Answer 48

close, y-coordinates are on top

so (10 - (-2))/(4 - (-2))

Answer 49

2

Answer 50

is the answer to that ^^

Answer 51

ah, yes

so if the slope is positive 2 there can only be one solution, any ones that stand out so far?

Answer 52

A and D

Answer 53

so keep in mind that point slope form is

(y-y1) = m(x-x1)

if m = the slope = 2 then we should have something like

(y-y1) = 2(x-x1)

which can only be choice A

Answer 54

correct
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Answer 55

same process as last time

pick one point to be your (x1,y1) and the other point to be your (x2,y2)

then find m = (y2-y1)/(x2-x1)

Answer 56

(9-4) / (2-1)

Answer 57

yup so that gives us +5 as the slope

so rn we have

y = 5x + b

let's just take the point (1,4) and plug that in to get b

so

4 = 5(1) + b solve for b

Answer 58

-1

Answer 59

D

Answer 60

good

Answer 61

http://prntscr.com/ktqksy

Answer 62

any ideas? as a hint we can re-write this as

y = 8x - 8

Answer 63

B

Answer 64

good start but there's a few more statements that can apply

since the slope is positive it moves up from L to R making C also true

thoughts on D? what do you get when you plug in y = 0 into y = 8x - 8

Answer 65

its positive

Answer 66

which means B and D

Answer 67

good so B+C+D

Answer 68

http://prntscr.com/ktqmye

Answer 69

well let's start w/ the obvious, is the y-intercept -2 or +2?

Answer 70

2

Answer 71

hm, not quite, notice if you put your eye on the origin you have to go down 2 units to touch the graph so the y-intercept is -2

Answer 72

anyway, from there we pick two points on the graph

(0,-2) and (-1,1) and calculate the slope using the slope formula

Answer 73

*just had to fix a tiny typo

Answer 74

so like what we did in the problem b4?

Answer 75

yes

(y2-y1)/(x2-x1)

Answer 76

(-2-1) / (0-1)

Answer 77

close, you missed a sign

(-2 -1) / (0 - (-1)) which gives us a slope of -3

so putting it all together y = (-3)x - 2

Answer 78

D

Answer 79

http://prntscr.com/ktqqjw

Answer 80

hoo boy

anyway they give you the point (-1,4) for a reason, to plug into the point slope form

y - 4 = m(x+1)

Answer 81

so to figure out the slope we just gotta pick two points

(-6,6) and (-1,4) apply the slope formula to that

Answer 82

(6-4) / (-6- (-1))

Answer 83

good so that gives us -2/5

so A is the best sol'n

Answer 84

are you too tired or can u help me with some more? lol

Answer 85

I can still keep going

Answer 86

ill make a new psot