Question

write the equations in slope intercept and standard form:

parallel to y= -5 and through (2,7)

vertical and contains (-4,6)

x-intercept= 2 and y-intercept= -4

Answer 1

To start, are you familiar with point-slope film?

Answer 2

@Amenah8

Answer 3

\[y-y _{1}=m(x-x _{1})\]

Answer 4

where m is your slope, x1 is your x coordinate, and y1 is your y coordinate

Answer 5

https://www.desmos.com/calculator/wer8rhnlj4

Answer 6

are you able to see this graph?

Answer 7

if not then i can draw it for you here.

Answer 8

if you can see it, or even from the information of y = -5, would you be able to tell me the slope of that line?

Answer 9

i see it. one moment, let me figure out the slope

Answer 10

is slope 0??

Answer 11

yes good. the slope here is 0

Answer 12

so you know that at any x point, the y will be -5 for that graph. Try to think how you could make another line parallel (same slope) to your original line where your line goes through (2, 7)

Answer 13

slope would still be 0. so the parallel line would be going through (0,7) and one of the points would then be (2,7).

Answer 14

and so slope intercept form is y=0x+7??

Answer 15

yes perfect! so now because you have 0x you can kind of just get rid of that part

Answer 16

so just y=x+7??

Answer 17

no, because then x has a value. in 0x, no matter what x will be your equation will end up being 0+7 because 0 times anything is still 0

Answer 18

so look back to y = -5. there is no x there because there is no slope. how can you do that with this equation?

Answer 19

y=7

Answer 20

perfect :)

Answer 21

and i can be corrected if i am wrong but i do not believe there is a way to convert that into standard form because it is already in standard form

Answer 22

yes perfect

Answer 23

thank you so much!!

Answer 24

alright, next part. so, we just did an equation where the line is horizontal. and it was y = -5. now we are looking for a line that is vertical. can you guess what we will change in out equation?

Answer 25

*our

Answer 26

you would have the x intercept instead of the y intercept

Answer 27

yes exactly, knowing that youre now dealing with x, how can you have a line that goes vertically through (-4, 6)?

Answer 28

x intercept is -4

Answer 29

yes. so take the y = -5. how can you write this problem like that?

Answer 30

does a vertical line have no slope?

Answer 31

would it be x= -4?

Answer 32

yes it would good job

Answer 33

so that is slope intercept and standard form

Answer 34

yes it is

Answer 35

alright now, could you see the last graph i sent a link for?

Answer 36

for y= -5? yes

Answer 37

alright i'm going to send you another link and walk you through it ok?

Answer 38

ok

Answer 39

https://www.desmos.com/calculator/nmg7iheud6
alright, on this graph you should see 2 points that will make up your line

Answer 40

the x-intercept and the y-intercept that you were given in your problem

Answer 41

do you see that?

Answer 42

yes

Answer 43

cool ok now, i would recommend, if you havent already done this, to scroll in until you see your graph going up by one every line so on the x-axis it should be 1, 2, 3, 4 each line instead of by 2s or 5s

Answer 44

i only recommend this because it should be easier to visualize that way

Answer 45

okay, i have it

Answer 46

alright so do you know that slope is another way of saying "rise over run"?

Answer 47

yes

Answer 48

so -4 over 2?

Answer 49

in this case it would not be -4 but you are almost right

Answer 50

your (0, -4) point is farther to the left from your (2, 0) point meaning that you are going from a lower number to a higher number. this means your slope is positive

Answer 51

knowing that how do you put the rise over run part?

Answer 52

4 over 2?

Answer 53

perfect and 4/2 =?

Answer 54

2

Answer 55

that is your slope

Answer 56

so y=2x+-4 for slope intercept form

Answer 57

yes and that can be written as y= 2x - 4

Answer 58

right. and standard form is -2x+y= -4 right? or is A not allowed to be negative?

Answer 59

no, you are correct good job :)

Answer 60

Thank you so much. this really helped me a lot :)

Answer 61

good im glad. you can tag me if you have any more questions you need help on

Answer 62

ok, thanks again