Question

Which counter example disproves the following statement? If a line has a y-intercept of 0, then it has a negative slope.

Answer 1

@Vocaloid

Answer 2

to disprove the statement, the function has to have a positive or 0 slope AND a y-intercept of 0

any ideas?

Answer 3

y=2x-1?

Answer 4

what's the y-intercept of y = 2x - 1?

Answer 5

y

Answer 6

not quite

Answer 7

2x-1

Answer 8

remember, the y-intercept is the number y equals when x = 0

Answer 9

when x = 0, what is y?

Answer 10

0

Answer 11

you sure?

Answer 12

y = 2x - 1

if x = 0, what is 2x - 1?

Answer 13

2x-1

Answer 14

i mean, what number does that equal?

Answer 15

2x - 1 = ___?

Answer 16

1x

Answer 17

no, we're looking for a number

Answer 18

with no letter

Answer 19

so 1?

Answer 20

nope

Answer 21

if x = 0, what is 2x?

Answer 22

0

Answer 23

good

now what is 2x - 1?

Answer 24

-1

Answer 25

great. now, -1 does not equal 0 so we try another answer

Answer 26

ok

Answer 27

any other guesses?

Answer 28

y=2x+1

Answer 29

@Vocaloid

Answer 30

what's the y-intercept?

Answer 31

what number does y equal when x = 0?

Answer 32

3x

Answer 33

remember what we said before

Answer 34

x = 0 means replace "x" with "0"

Answer 35

y = 2x + 1 = 2(0) + 1 = ?

Answer 36

yes

Answer 37

it just doesnt have an x

Answer 38

so what do you think the answer is? (hint: it's not 3)

Answer 39

3x?

Answer 40

not 3x either

Answer 41

or does that count as 3?

Answer 42

when x = 0, what is 2x + 1?

Answer 43

hint: if x = 0, what is 2x?

Answer 44

0

Answer 45

good

so if 2x = 0, what is 2x + 1?

Answer 46

1

Answer 47

good, so the y=intercept is 1, so this isn't the answer

Answer 48

any other guesses?

Answer 49

the answer is -2x

Answer 50

nope

Answer 51

remember the first thing I said

Answer 52

2x than

Answer 53

good