Question

plz help i will much appreciate it

Answer 1

The "rate of change" is the slope.
(Normally when you have something like \(\color{#000000 }{ \displaystyle y=mx+b }\), then \(m\) is the slope)

Answer 2

sort of like number 2

Answer 3

So, the equation in *2* is already in that form.

Can you tell me the slope in *2*?

Answer 4

Please find the slope in each of the two cases.

Answer 5

i am not sure is it -4

Answer 6

Yup

Answer 7

really XD

Answer 8

So is the slope in *2* negative of positive?
:O

Answer 9

what is negative of positive
do u mean or

Answer 10

the slope in *2* is equal to -4.
So that means that the slope in *2* is negative or positive?

(you know it...)

Answer 11

i am not sure sorry

Answer 12

is -4 a positive or negative number?

Answer 13

oh negative lol

Answer 14

yes, so the slope in *2* is ?

Answer 15

(negative or positive ?)

Answer 16

negative

Answer 17

Yes, lol ...

Answer 18

now lets do number one

Answer 19

Now, let's refer to equation *1*

2x - 3y = 9

Please, solve this equation for y.
(isolate the "y")

Answer 20

i got this from a website called math papa

Step 1: Add -2x to both sides.
2x−3y+−2x=9+−2x
−3y=−2x+9

Step 2: Divide both sides by -3.
−3y−3=−2x+9−3
y=23x−3

Answer:
y=23x−3

Answer 21

*2/3* sorry

Answer 22

the answer right

Answer 23

(you really should be solving this on your own, because the site won't be available on the tests, would it?)

[but], yes, \(y=\dfrac{2}{3}x-3\) is correct

Answer 24

So, what is the slope in *1* ?

Answer 25

Hint:
The slope of an equation in a form,
y=mx+b, is equal to m.

Answer 26

lol sorry i am trying my best in math i am glad there are people like u to come and help me out
and is it -3

Answer 27

no, that is not the slope ...
"-3" is the y-intercept (or the "b").

Answer 28

positive 9?

Answer 29

\(y=\dfrac{2}{3}x-3\) (your equation)

\(y=~mx+b\)

Compare and tell me what is the slope ("m") of your equation?

Answer 30

2/3 ?

Answer 31

Yes, exactly.

Answer 32

So, the slope in *1* is negative or positive?

Answer 33

yesss lol
and positive?

Answer 34

Yes, it's positive.

Answer 35

now 3 and 4 i relly have no clue

Answer 36

*really*

Answer 37

The "rate of change" or the slope in *3* and *4*,
Can be determined through the formula;

\(\color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{b}-\color{red}{d}}{\color{green}{a}-\color{darkgoldenrod}{c}} }\)

where; \(\color{black}{ \displaystyle {\rm m} }\) is the slope
\(\color{black}{ \displaystyle (\color{green}{a}~,~~\color{blue}{b}) }\) and \(\color{black}{ \displaystyle (\color{darkgoldenrod}{c}~,~~\color{red}{d}) }\) are your two points.

Answer 38

You can choose any two points.

Answer 39

can u plx epain it a little more simple i an really confused lol sorry thx for being patient with me

Answer 40

*explain*

Answer 41

So for *3*, you can choose (for instance) the following two points:
\(\color{black}{ \displaystyle (\color{green}{3}~,~~\color{blue}{7}) }\) and \(\color{black}{ \displaystyle (\color{darkgoldenrod}{1}~,~~\color{red}{1}) }\)

And then use the slope formula; (Slope is "m")
\(\color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{7}-\color{red}{1}}{\color{green}{3}-\color{darkgoldenrod}{1}} }\) (blah blah blah ... you simplify..)

Answer 42

So in that case, you will get
m = ?

Answer 43

i it \[\frac{ 6 }{ 2 }\]

Answer 44

yes, 6/2, very good!

But, you can reduce this fraction (if you divide by 2 on top and bottom)

Answer 45

so 3/1

Answer 46

because 6 divided by 2 = 3
and 2 divided by 2 = 1