Question

The equation of the line of best fit of a scatter plot is y = 12x + 7. What is the slope of the equation?
–12
–7
12
7

Answer 1

Pls Help I'm so confused

Answer 2

@AMYCARTER

Answer 3

what do you think?

Answer 4

I'm sorry. But I don't know this, I thought this was something different. Sorry, I tried.

Answer 5

I give medals pls help

Answer 6

@koolkat13

Answer 7

@GhastlyPack

Answer 8

@SolomonZelman

Answer 9

the slope is the value in front of the X
so the slope is 12

Answer 10

but how do I FIND the answer

Answer 11

y = 12x + 7\(\large\color{slate}{ \\[0.6em] }\)
\(\normalsize\color{slate}{ \bullet }\) when you plug in \(\normalsize\color{blue}{ 1 }\) instead of x, what do you get for y? \(\large\color{slate}{ \\[0.6em] }\)
\(\normalsize\color{slate}{ \bullet }\) when you plug in \(\normalsize\color{blue}{ 2 }\) instead of x, what do you get for y? \(\large\color{slate}{ \\[0.6em] }\)
\(\normalsize\color{slate}{ \bullet }\) when you plug in \(\normalsize\color{blue}{ 3 }\) instead of x, what do you get for y? \(\large\color{slate}{ \\[0.6em] }\)
\(\normalsize\color{slate}{ \bullet }\) when you plug in \(\normalsize\color{blue}{ 4 }\) instead of x, what do you get for y? \(\large\color{slate}{ \\[0.6em] }\)

answer these 4 questions for me.

Answer 12

ummm
12 * 1 = 12 + 7 = 19
right?

Answer 13

I will show you on the first question.
\(\normalsize\color{black}{ y = 12x + 7 }\)
\(\normalsize\color{black}{ y = 12\color{blue}{\cdot(1)} + 7 }\)
\(\normalsize\color{black}{ y = 12 + 7 }\)
\(\normalsize\color{black}{ y = 19 }\)

Answer 14

Can you find for me the y-value when we plug in \(\normalsize\color{blue}{ 2,~~3 }\) and \(\normalsize\color{blue}{ 4 }\) instead of x?

Answer 15

so i got the first question right

Answer 16

yes

Answer 17

i just didn't put it in the same format

Answer 18

so is 12 the right answer to my question?

Answer 19

Yes

Answer 20

ok

Answer 21

if you want to know why, bear with me..... (if not, then oh well... bye)

Answer 22

Do you want to know why ?

Answer 23

yes

Answer 24

okay, then (for now) please answer the remaining questions (the last 3 from the 4 questions) I asked.

Answer 25

so 2 instead of x 3 instead of x and 4 instead of x
y= 12 * 2 + 7 =
12 * 2 24
24 + 7 = 31
y = 12 * 3 + 7
12 * 3 = 36
36 + 7 = 43
y = 12 * 4 + 7
12 * 4 = 48
48 + 7 = 55
so the answers are
y = 31
y = 43
y = 55

Answer 26

so how was the answer 12

Answer 27

had to carry a massive TV to trash pickup sorry

Answer 28

Ok, see how every time you got 1 x unit up, the y value increases by 12 every time?

Answer 29

yeah

Answer 30

So, the value the y increases by is called the slope

Answer 31

Now, lets consider something abstract (lets make a theory)

Answer 32

\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}x+{\rm \color{red}{b}} }\) \(\large\color{slate}{ \\[0.5em] }\)
(this is a "y-intercept form"of a line.)
\(\large\color{slate}{ \\[0.7em] }\)
what happens when we plug in \(\large\color{black}{ \displaystyle {\rm \color{blue}{1}} }\) for \(\large\color{black}{ \displaystyle x }\) ? \(\large\color{slate}{ \\[0.5em] }\)
\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}x+{\rm \color{red}{b}} }\)
\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}\cdot(1)+{\rm \color{red}{b}} }\)
\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}+{\rm \color{red}{b}} }\)
\(\large\color{slate}{ \\[0.7em] }\)
what happens when we plug in \(\large\color{black}{ \displaystyle {\rm \color{blue}{2}} }\) for \(\large\color{black}{ \displaystyle x }\) ? \(\large\color{slate}{ \\[0.5em] }\)
\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}x+{\rm \color{red}{b}} }\)
\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}\cdot(2)+{\rm \color{red}{b}} }\)
\(\large\color{black}{ \displaystyle y=2{\rm \color{blue}{m}}+{\rm \color{red}{b}} }\)
\(\large\color{slate}{ \\[0.7em] }\)
what happens when we plug in \(\large\color{black}{ \displaystyle {\rm \color{blue}{3}} }\) for \(\large\color{black}{ \displaystyle x }\) ? \(\large\color{slate}{ \\[0.5em] }\)
\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}x+{\rm \color{red}{b}} }\)
\(\large\color{black}{ \displaystyle y={\rm \color{blue}{m}}\cdot(3)+{\rm \color{red}{b}} }\)
\(\large\color{black}{ \displaystyle y=3{\rm \color{blue}{m}}+{\rm \color{red}{b}} }\)

and on.....

Answer 33

So, for every 'x' we are adding 'm' once.

Answer 34

So this "m" is the slope.

Answer 35

it is the "rate of change"

Answer 36

that makes more sence thx