Question

1. Give the coordinates of two points on the line x = 5.
2. Give the coordinates of two points on the line y = -2.
3. Write the equation of the horizontal line passing through the point (-1, -8).
4. Write the equation of the vertical line passing through the point (3, 1).
5. Is the line with equation x = 4 horizontal or vertical? What is the slope of this line?
6. Is the line with equation y = -8 horizontal or vertical? What is the slope of this line?

Answer 1

6. horizontal... slope = 0

Answer 2

Question 1: "Give the coordinates of two points on the line x = 5".

Alright, so first tell me what you know about the line x = 5. Tell me everything you know.

Answer 3

@darkprince14, I would like @mikala to answer because she needs to learn. So please, if you don't mind. Thank you! @mikala1, are you there? Can you please tell me everythhing you know about the line x = 5?

Answer 4

no not really i just strted this lesson this is my first time

Answer 5

if you have to go then you can go i dont need them right now i was just asking

Answer 6

sorry..my bad XD...@mikalal , give it your best :)

Answer 7

Multiple Choice: Is the line x = 5

a). horizontal
b). vertical
c). diagonal

Answer 8

i will but thanks for ur help umm i think the x on a graph goes up and down so thats virtical right

Answer 9

you can draw it to see it more clearly

Answer 10

so it could be 5,0 5,1 right since thoses are on five or ever 5,5

Answer 11

YES! x = 5 is a vertical line. Excellent! So what would the coordinates of two points on this vertical line be then?

Answer 12

i said 5,0 5,5 i think

Answer 13

Yes! (5, 0) and (5, 1) are definitely amongst the infinite number of possibilities.

Answer 14

lol

Answer 15

so on number 2 it could be -2,1 and -2,-2 right

Answer 16

Question 2: "Give the coordinates of two points on the line y = -2".

Now what do you you know about the line y = 2. Are you able to answer this question now?

Answer 17

You type faster than I.

Answer 18

Sorry, I meant y = -2

Answer 19

did ii get them right

Answer 20

@calculusfunctions shouldn't it be written in coordinate form, being infinite?

Answer 21

No! this time your points are wrong. Try again please.

Answer 22

well then idk what it is is it all positive

Answer 23

What type of line is y = -2?

Answer 24

Do you know?

Answer 25

y

Answer 26

axess

Answer 27

Is it a horizontal, vertical or a diagonal line?

Answer 28

If x = 5 was a vertical line then y = -2 is what type of line?

Answer 29

horozantial

Answer 30

yes!

Answer 31

So then what are two possible points on this line?

Answer 32

umm -2 and -1

Answer 33

No! @mikala1, let's put on our thinking caps for a second, shall we?

If y = -2, then shouldn't the y-coordinate be always -2?

Answer 34

ya thats what i put i thought

Answer 35

Any point is given by (x, y). You said (-2, -1). The correct response would have been
(-1, -2). Do you see the difference?

Answer 36

-2 and -2 right

Answer 37

ya because of the x axxess

Answer 38

Yes (-2, -2) is correct because the y-coordinate is -2. Just so we're clear that you understand, can you please give me two more points? And can please write it properly. (-1, -2), NOT -1, -2. I need to see those parentheses please.

Answer 39

this might help

Answer 40

yes sir (-3,-2) (-5,-2)

Answer 41

thank you lambchop

Answer 42

Thank you @lambchamps. @mikala1, do you see the diagram @lambchamps was kind enough to provide? Please take a look. Does that help? Thank you again @lambchamps.

Answer 43

np

Answer 44

yes i did i type my things right this time and i said thatnk you

Answer 45

Question 3: "Write the equation of the horizontal line passing through the point (-1, -8)".

Now do you know what to do here?

Answer 46

Sorry, yes of course. You're quite welcome, @mikala1.

Answer 47

no and did i get number 2 right and no i dont understand

Answer 48

It's not necessary to keep saying thank you. The only thanks I need is knowing that you understand and that you have learned. That is the only reason I'm here.

Answer 49

@calculusfunctions i think is safe to say that it's \[(5,\infty),(5, - \infty )\] isn't?

Answer 50

Yes, I believe I already confirmed that question 2 was correct.

Answer 51

ok now number 3 ik nothing on so if you have to go then u can go because this is taking u to long andi fel bad

Answer 52

@lambchops, what is safe to say? You're talking about intervals, not points. That will just confuse her.

Answer 53

oh sorry

Answer 54

Yes #3. What do you think equation of a horizontal line looks like?

Answer 55

ya i was just like what the heak lol its ok lambchop keep helping though

Answer 56

i have never even seen one

Answer 57

Go back and think about y = -2 again.

Answer 58

ok

Answer 59

y = -2 represents a horizontal line where the y-coordinate of any point on the line is -2. So then how would you use this fact to answer Question 3?

Answer 60

would it by y -1 and x 8

Answer 61

i ment -8

Answer 62

am i right

Answer 63

tell her the slope int form

Answer 64

r u dar

Answer 65

The equation of any vertical line is x = c where c is any constant and the x-coordinate of any point that the vertical line passes through. The slope of a vertical line is undefined.

The equation of any horizontal line is y = c where c is any constant and the y-coordinate of any point that the horizontal line passes through. The slope of a horizontal line is zero.


Now use this information to answer the question please.

Answer 66

i am not understanding this sorry if you have to go u can go

Answer 67

@lambchamps DO U UNDERSTAND THIS I DONT SORRY FOR THE CAPS

Answer 68

Equation of any diagonal (oblique) line is\[y =mx +b\]where m is the slope and b is the y-intercept. But I already explained that to you last time @mikala1. That's why I didn't include that in the notes above. But @lambchamps, mentioned it so I'm mentioning it again.

Answer 69

no still not understandng orry i give up

Answer 70

@mikala1 there you go @calculusfunctions has mentioned the formula

Answer 71

@mikala1, you're told that the horizontal line passes through (-1, -8), right? OK, since the y-coordinate of this point is -8, and it's a horizontal line, the equation is therefore\[y =-8\]Do you understand now?

Answer 72

thats what i put dow in one of my responces and u never replied

Answer 73

so x equals -1 right

Answer 74

I never saw that! @lambchamps, did you see that? Perhaps @mikala1, you shouldn't type while I'm typing, trying to teach you. It's causing a lot of confusion and wasting valuable time.

Answer 75

well i have to go eat and the only one i need help on is number 4 the other 2 i now understand

Answer 76

sorry about that i dident mean to wast your time

Answer 77

@calculusfunctions nope