Question

Help please!! Will fan and medal

Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.


Line 1
x y
0 3
1 5

Line 2
x y
–1 1
–2 –1



Line 1: y = ____x + ____

Line 2: y = ____ x + ____

Answer 1

do you know how to find the slope?

Answer 2

"no" is a fine answer, just asking

Answer 3

sometimes i have it other times i don't its just really hard

Answer 4

on the first graph you have two points given \((0,3)\) and \((1,5)\) right

Answer 5

even though they are given in the form of a table

Answer 6

how many units right from \(x=0\) to \(x=1\)? (this is not a trick question, the answer is kind of obvious)

Answer 7

1

Answer 8

right
and how many unit up from \(y=3\) to \(y=5\)?

Answer 9

2

Answer 10

zactly

Answer 11

right 1, up 2 slope is \(\frac{2}{1}+2\)
that is what the slope means
how many units up or down in the y direction (vertical) for each single unit right in the x direction (horizontal)

Answer 12

oops typo there, i meant
right 1, up 2 slope is \(\frac{2}{1}=2\)

Answer 13

right 1, up 2, slope is 2

Answer 14

so the equation would be y= 2x + 2 ??

Answer 15

no

Answer 16

the first 2 is right, for the slope, but your second 2 is wrong
how did you get that?

Answer 17

wait is it 3??

Answer 18

ok lets go slow

Answer 19

the second number, the "\(b\)" in \[y=mx+b\] is the "y intercept"
it is the y value when the x value is 0

Answer 20

when it the corresponding y for \(x=0\)?

Answer 21

oh sorry i didn't see your second answer
yes, it is 3

Answer 22

if \(x=0\) you have \(y=3\)

Answer 23

:)

Answer 24

ok now the next one requires more work, but not much more

Answer 25

okay.

Answer 26

how many units right from \(x=-2\) to \(x=-1\)?

Answer 27

1

Answer 28

yes, and how many unit up from \(y=-1\) to \(y=1\)?

Answer 29

2

Answer 30

so guess what the slope is?

Answer 31

1?

Answer 32

wait..

Answer 33

yeah i am waiting because it is definitely not 1

Answer 34

3

Answer 35

over one, up 2, slope is ___

Answer 36

sort of reminiscent of the last one right?

Answer 37

2?

Answer 38

yes

Answer 39

im just thinking way to hard

Answer 40

yes for sure, this is not very complicated

Answer 41

btw we can also get the slope even if the points are not one unit apart using \[\frac{y_2-y_1}{x_2-x_1}\] in this case we would have got \[\frac{1-(-1)}{-1-(-2)}=\frac{2}{1}=2\]

Answer 42

thats how i usually do it

Answer 43

now for the y intercept

Answer 44

you want to know what you get when \(x=0\)
from -1 to 0 is one unit right, go up another two units in the y from 1 to ?

Answer 45

3

Answer 46

yes

Answer 47

it is the same line as the last one

Answer 48

thank you so much!! i am so sorry i wasted your time im pretty slow.

Answer 49

hey my pleasure
many people post and don't even respond, happy to help someone who is learning
it is not like you are born knowing this

Answer 50

:) i respond whenever i post a question because i like to work it out so i can actually learn

Answer 51

anyways have a goodnight/day depending where you live :D