Question

Medal!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Write an equation of a line parallel to y = 1 over 4x − 6 in slope-intercept form that passes through the point (−1, 5).

y= 1 over 4x − 1

y= 1 over 4x + 5.25

y= −4x + 5

y= −4x − 1.25

Answer 1

anyone good at this

Answer 2

Let me see hmmm.

Answer 3

i suck at slope intercept forms on a grid

Answer 4

@Here_to_Help15

Answer 5

@phi

Answer 6

@iGreen

Answer 7

@iambatman

Answer 8

Parallel to this?

\(y = \dfrac{1}{4x-6}\)

Answer 9

yes

Answer 10

I am sure they gave you the equation of a line in slope-intercept form:
y = ¼ x − 6

and want a line parallel to this one, but goes through the point (-1,5)

Answer 11

this is hard for me

Answer 12

yes

Answer 13

The first thing to notice is the line they gave you is in slope-intercept form
y = mx + b

where m is the slope.

what is the slope of the line they gave you ?
what is the slope of
y = ¼ x − 6
?

Answer 14

@phi how do you get slope from that

Answer 15

@NinjaDevo

Answer 16

you match up the equation with
y = m x + b
m is the slope
the number in front of the x is the slope

Answer 17

so its y=1/4x+6

Answer 18

all we want (so far) is the slope.
what is the slope of
y = ¼ x − 6
?

Answer 19

the number in front of the x is the slope

Answer 20

how do you get it?

Answer 21

i dont understand

Answer 22

all i know is how to write it i dont know how to solve that

Answer 23

1/4 is the slope

Answer 24

yes. ¼ is the slope.

next, we want an equation that looks like

y = m x + b

where m is the slope. we know the slope is ¼ (the same slope as the line they gave us)
so replace m with ¼

y = ¼ x + b

now we need to find b. To find b, we use the info
passes through the point (−1, 5).
that means when x = -1 y is 5
use those numbers in
y = ¼ x + b


can you replace y with 5 and x with -1 ?

Answer 25

5=1/4-1+b

Answer 26

ok. except ¼ x is short-hand for ¼ times x
when you put in -1, it means ¼ * -1
so you should write it
5=¼ *-1+b

-1*¼ is -¼
so we can write it
5 = -¼ + b
now add +¼ to both sides

Answer 27

i dont understand that?

Answer 28

can you write that part out for me

Answer 29

im sorry im just really bad at geometry

Answer 30

luckily this is algebra.

do you get
5=¼ *-1+b

Answer 31

yes

Answer 32

-1 * ¼ is - ¼

(just like -1*2= -2 and -1 * ½ is -½ , and so on)

Answer 33

ok i understand

Answer 34

we have
5=-¼ +b

Answer 35

add +¼ to both sides
5+¼ =-¼ + ¼ + b

on the right side -¼ + ¼ is ?

Answer 36

0

Answer 37

so its 5+1/4=b

Answer 38

so we have
5 + ¼ = 0+b

0 + anything is anything (adding 0 does not change it). so 0+b is just b

5+¼ = b

we can write 5+¼ as a mixed number 5 ¼ (means the same thing)
or change ¼ to a decimal 0.25 and write 5+0.25 = 5.25

we find
5.25 = b

that means b is 5.25

use that in our equation (remember it ? )
y = ¼ x + b

we get the answer
y = ¼ x + 5.25

Answer 39

ok thank you so much

Answer 40

@phi can you help me with another?

Answer 41

Find the perimeter of the shape below:

A four sided figure RSTU is shown. R is located at negative 1, 3. S is located at negative 2, 7. T is located at 2, 5. U is located at negative 1, 5

7.4 units

8.9 units

11.2 units

13.6 units

Answer 42

it's easier to read if you use - instead of negative.

Answer 43

ok my bad

Answer 44

it looks like you need to use the distance formula four times.

Answer 45

ok

Answer 46

does the picture look like this?

Answer 47

yes

Answer 48

the distance formula is

\[d= \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 } \]

between points \( (x_1,y_1) \text{ and } (x_2,y_2) \)

Answer 49

R is (-1,3)
S is (-2,7)

can you put those numbers into the formula?

Answer 50

yes

Answer 51

its comes out to be the sqrt of 17

Answer 52

i plugged it in and solved and thats what i got

Answer 53

ok. But all the choices are decimal, so we should write it as (about) 4.12
(we keep 2 decimals and will round to 1 decimal at the end)

one down, 3 to go

now the distance between
S is (-2,7)
T is ( 2,5)

Answer 54

ok one sec

Answer 55

sqrt of 20

Answer 56

as a decimal?

Answer 57

4.47

Answer 58

when its rounded

Answer 59

now the last 2 sides
T is ( 2,5)
U is (-1, 5)

(notice we don't need the distance formula because the y does not change. just count the x difference)

Answer 60

ok so then its sqrt 9

Answer 61

which is 3

Answer 62

notice the difference is the x values -1 to 2 is 3 (simpler!)

Answer 63

finally
U is (-1, 5)
R is (-1,3)

Answer 64

@phi i only have like maybe 40 mins to turn this in can you give answers and then explanations just so i can get this done i know you want me to engage and ill try but i cant spend this amount of time on one question

Answer 65

@phi

Answer 66

ok its sqrt of 4 which is 2

Answer 67

@phi

Answer 68

@myininaya

Answer 69

@ganeshie8

Answer 70

@thomaster

Answer 71

yes. now add up the 4 numbers ... the perimeter is the distance around the figure i.e. the sum of its sides

Answer 72

and round to the nearest tenth

Answer 73

ok its 13.6

Answer 74

can you help me with some more please could yoiu give me the answer and then explain that way i can get this done

Answer 75

i dont have much time and all i need is an explanation after and ill get it