Question

Can Someone Help Me?

Answer 1

Two quantities are related, as shown in the table:


x y
2 10
4 9
6 8
8 7


Which equation best represents the relationship?

Answer 2

A. y = 1 over 2 x + 11
B. y = negative 1 over 2x + 11
C. y = 2x + 10
D. y = 2x + 11

Answer 3

the table is showing a linear relationship.

so find the slope by picking any 2 points....

that's the 1st part

Answer 4

@blackfireskull @-SpencerBraz- @Nizux @DanJS @readergirl12 @Qwertty123 @alibaby

Answer 5

@herooftime30001

Answer 6

you could take any two (x,y) pairs and find the slope
do you know how to do that ?

Answer 7

do you know how to find the slope of a line..?

Answer 8

hm, i think you would use rise/run correct?

Answer 9

@phi is that right?

Answer 10

yes , slope is rise over run
one way to find it is pick two "points"
what two points do you want to use ?

Answer 11

someone asked me that before but i dont really know how do you choose them?

Answer 12

ok... so use the points (2, 10) and (4, 9)

the slope is the change in the y values divided by the change in x values
\[m=\frac{ 10-9 }{ 2-4 }\]
when you calculate the slope you eliminate 2 answers...


the the slope intercept form is

y = mx + b

so substitute the slope you just found

then use any point like (6, 8) and substitute these to find b

it means x = 6 and y = 8

hope it helps

Answer 13

no magic to choosing. you could pick the first line (2,10)
and the 2nd line (4,9)

Answer 14

okay

Answer 15

if you write them like this, and subtract the bottom from the top:
2 10
4 9
-------

what do you get ?

Answer 16

2 and -1

Answer 17

ok (you did bottom - top, but it does not matter. It works either way)
anyway, the 2nd number is the change in y
and the first number is change in x
slope is change in y divided by change in x

so write the 2nd number "up top" and the first number in the bottom
what do you get ?

Answer 18

-1/2?

Answer 19

yes, -½ is the slope
so the equation of the line will be
\[ y = -\frac{1}{2}x + b\]
now we want to find "b" to get the final equation

Answer 20

okay

Answer 21

to find "b" we pick any point on the line (oh no! another choice!)
let's use the first point (line in your table) (2,10)

Answer 22

2 is the x number and 10 is the y value
we put those numbers in the equation in place of the letters
can you do that for
\[ y = -\frac{1}{2}x + b\]
?

Answer 23

erase the y and write in 10 instead
and erase the x and put in 2

Answer 24

10=−12x+2

Answer 25

10=−12*2+b

Answer 26

ok except it is -½ (-1 divided by 2) for the slope not -12
\[ 10= \frac{-1}{2}\cdot 2 + b \]
can you simplify -½ * 2 ?

Answer 27

4

Answer 28

-½ * 2 is -2/2
= -1

Answer 29

oh ok

Answer 30

make a note: practice doing fractions

so you now have
10= -1 + b
add +1 to both sides like this
1+10= -1+1 + b

on the right side -1+1 adds up to 0

Answer 31

ok

Answer 32

you get
11= 0+b
or just
11=b
which means b is 11
put in 11 for b and you get the equation
y= -½ x + 11

Answer 33

brb one second.

Answer 34

im back

Answer 35

Ok so it is B?

Answer 36

@phi

Answer 37

yes,B

Answer 38

thank you so much !