Question

http://prntscr.com/ktos6o

Answer 1

@Vocaloid

Answer 2

well let's start by writing out the three forms

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

just have to pick a random point to be your (x1,y1), pick a slope m, and leave everything else alone

b) y = mx + b
pick a slope m, and an intercept b

c) Ax + By = C

you have to pick numbers to plug into A, B, and C

Answer 3

the question does not say what to plug in

however I would recommend keeping your numbers small, like 1,2,3...etc.

now, the next step says to convert each equation to a different form (IMO slope-intercept is the easiest) so you would take a) and c) and solve for y

then for b) you can convert to another form, I would say standard form is probably the easiest, so you have to get x and y on one side

Answer 4

okay can I show you along the way?

Answer 5

sure

Answer 6

so far:
http://prntscr.com/ktoxf4

Answer 7

hm not quite

you have to plug in something for m

also for C) it has to be Ax + By = C

so re-writing your C) in standard form would be 5x - y = -3

Answer 8

how can I convert a to slope intercept form?

Answer 9

like this? :
http://prntscr.com/ktp20s

Answer 10

right now you have

y - 2 = m(x-3)

let's just plug in 1 for m to make this easy

y - 2 = (x-3)

we can solve for y by adding 2 to both sides and simplifying

y = x - 3 + 2

so y = x - 1 would be your slope intercept if you use m = 1

Answer 11

oh wait

Answer 12

its y - 2 = 4 ( x - 3 )
isnt m 4?

Answer 13

you used m = 4? that's fine

Answer 14

yes

Answer 15

so same thing but with 4?

Answer 16

well if you have

y - 2 = 4(x-3)

you would need to distribute the 4 to get

y - 2 = 4x - 12

then you'd just add 2 to both sides to finish the conversion

Answer 17

dont we subtract by 2?

Answer 18

since we have y - 2 on the left side we want to "cancel" that -2 by doing the opposite

subtracting 2 would give us y - 4 = 4x - 14 which doesn't really help

Answer 19

y - 2 = 4x - 12

but if we add 2 we get

y = 4x - 10 which is exactly the form we need for point-slope

Answer 20

got itt

Answer 21

correct so far:
http://prntscr.com/ktp6yb

Answer 22

super close

for c) we would write this as y = 5x + 3 not 3 + 5x

Answer 23

and how can I change b to standard form?

Answer 24

b is: y = 3x + 2

Answer 25

subtract 3x from both sides

Answer 26

its going to equal 1 correct?

Answer 27

hm not quite, remember nothing happens to 2 because its a constant and not like terms with 3x

y = 3x + 2

subtracting 3x from both sides gives

-3x + y = 2 should be your standard form

The coefficient on x is supposed to be positive in standard form so we just flip all the signs

3x - y = -2 = your standard form

Answer 28

there we go:
http://prntscr.com/ktpb4x

Answer 29

good

Answer 30

should I make a new post?

Answer 31

that'd be a good idea