Question

I need your help understanding!NOW :)

Which of the following does not describe slope?
A line joining points A constant rate of change A proportional relationship A measure of change

What is the slope of the line shown in the graph?
A coordinate plane is shown with points graphed at −2 comma 2 and 0 comma 1. The points are joined by a line.
−2 −1 −1 over 2 1 over 2

Answer 1

For question 2 here is the pic

Answer 2

okay.
Do you understand what a slope is?

Answer 3

yes. I know what the formula is :)

Answer 4

okay that's good! :)
So when you think of a slope you think of an increase/decrease from one place to another right?

Answer 5

yes

Answer 6

okay sooooooo.
If i say a slope is a line joining two points would that be correct?
Like.. what if the two points were on a straight line.. do you think that would still be a slope?

Answer 7

hmmmmm, I don't think so.

Answer 8

that's right!
Because if there are points on a straight line, there is NO CHANGE (no increase or decrease)
SO you have your answer for the first question :)

Answer 9

thanks :), do you think that you could help me with the 2nd one ?

Answer 10

and ill give u a medal :)

Answer 11

yeah sure! No worries :)

Answer 12

Can you tell me the formula of a slope?

Answer 13

slope (m) =
rise
run
=
vertical change
horizontal change
=
change in y
change in x

I have it written in my notes :)

Answer 14

That's great! :D
Okay so now that we know that the slope = rise/run
Let's work it out in steps!
So what would be your vertical change?

Answer 15

it would be one of the two numbers, correct?

Answer 16

vertical means up and down.
So If you look at your diagram...
For the first point (-2,2)
What is your y value?
And then for the second point (0,1)
What is your y value?

Answer 17

-2 ?

Answer 18

remember that when they give you coordinates the first point is always x and the second is y
so (x, y)
Try again :)

Answer 19

ok so 1? :)

Answer 20

yeeees!
So the vertical change = 1.
Now you do a similar thing to find the horizontal change (change from left to right).
So for your first point (-2,2)
What is your x value?
and then for your second point (0,1)
What is your x value?

Answer 21

so - 1/2 ! ?

Answer 22

yes!
You did it ! :)))

Answer 23

yea!!!!! I need help with one more, I promise, if u want :)

Answer 24

okay :)

Answer 25

Which statement best explains if the graph correctly represents the proportional relationship y = 3.5x?
A graph of a coordinate plane is shown. Points are graphed at 1 comma 3.5 and 2 comma 7. The points are joined by a line.
No, the points shown on the line would not be part of y = 3.5x No, proportions cannot be represented on a graph Yes, the points shown on the line would be part of y = 3.5x Yes, all proportions can be shown on the graph of this line

Answer 26

okay!
This one looks a little tricky but i am sure you can do it.
OK...
Firstly they tell you that you want to know if the graph explains y= 3.5x right?

Answer 27

yes :)

Answer 28

umm, she I guess the change is y and x?

Answer 29

sorry i made a mistake earlier! xD
Okay what you want to do is to substitute your two coordinates into the equation y= 3.5x
So for your first point (1, 3.5)
What is your x? and what is your y?

Answer 30

um see the change, in the x and y?

Answer 31

hmm.. not quite.
okay remember (x, y) ?
So for your first point on your diagram (1, 3.5)
What is your x?
What is your y?

Answer 32

x 3.5 and y7? sorry, this always confuses me

Answer 33

it's okay :)
Alright. Let's take it slower.
If you look at your diagram.
What are the coordinates of the first orange dot?

Answer 34

(1, 3.5)

Answer 35

yep!
So from that.. one point.
Can you tell me your x and your y?

Answer 36

well the y would be (2,7) soooo

Answer 37

wait! :)
Okay we don't need to find the slope right now.
So the first point is (1, 3.5) Right??
So the x value = 1 and the y value would be 3.5.
Do you get it?
It went across 1 unit and then it went up 3.5 units

Answer 38

ohhhhh yea okay. :)

Answer 39

okay so the question wants you to prove y = 3.5 x (call this the first equation)
So since we know x = 1 and y = 3.5
We substitute the x and the y it into the first equation so it would be
3.5= 3.5*1
which is true because 3.5 = 3.5
This means that the point satisfies y = 3.5 x

Answer 40

So now we can try it with the second point (2,7)
Can you try to tell me what your x value is and your y value?
It's just like what we did earlier with (1, 3.5)

Answer 41

ok so I think it would be 7= 7*2, something like that, but im not sure :)

Answer 42

Try to take it slowly. There's no rush :)
okay so your second point is (2,7)
Your x = 2 and y = 7 right?
Because it goes across 2 and then up by 7.

Answer 43

yes :)

Answer 44

okey dokey!
So now what we want to do is to prove that (2,7) satisfies the first equation y = 3.5 x
I already told you that x = 2 and y = 7 so using substitution put them both into y= 3.5 x

Answer 45

so see " y = 3.5 x" ?
Where the y is we know that it equals to 7
So we write 7= 3.5 x
Then we know x = 2 so we put that into the above
7 = 3.5*2
So would both sides be equal?

Answer 46

yes they do

Answer 47

So I believe it would be : Yes, the points on this line would be apart of y= 3.5x

Answer 48

yeees! :)
FANTASTIC

Answer 49

thanks ! so much! do u mind if I friend you :)

Answer 50

No worries haha :) So happy that you were patient and willing to learn and try
I hope i helped you out!
Go for it :)