Question

the question says which question best explains if the graph correctly represtents proportional relationships y=0.5x
A. yes the points shown on the line would be part of y=0.5x
b. yes all proportions can be shown on the graugh of this line
c. no the points shown would not be part of y=0.5x
d. no proportions can be reppresented on a graugh

Answer 1

do you know the slope of the line
y=0.5x

?

(match that to y= m x + b)
m is the slope

Answer 2

i dont even know what slope is they didnt teach me this she threw me i the middle of this lesson

Answer 3

ok, then let's do it another way
if you replace x with 0 in the equation
y = 0.5* x
and simplify, what do you get ? any idea ?

Answer 4

nope i dropped out and they are making me do this and not even giving me lesson

Answer 5

do this: in
y= 0.5*x

write that on a piece of paper.
erase the x
put in 0 instead
what do you get ?

Answer 6

y=0.50

Answer 7

ok, but 0.5x is how we write 0.5 times x (in algebra, we leave out the multiply sign if it's a number times a letter)
so you really get (put in the multiply sign (I use *) ):
y = 0.5*0

now simplify 0.5 times 0
you get 0
in other words, when x is 0, y is 0

is the point (0,0) on the line in your graph? any idea ?

Answer 8

yes theirs a point on 0.0

Answer 9

I hope you mean (0,0) is on the line
now what is y if x is 2?
use
y = 0.5*x and put in 2 for x
what do you get for y ?

Answer 10

1

Answer 11

yes, so that means the point (2,1) belongs to the line y=0.5x

now look at the graph. Can you find the point (2,1) ?

Answer 12

their is no point 2,1

Answer 13

theirs no dot on it

Answer 14

ok, we don't need a dot. we just need to know, does the purple line go through (2,1) ?

Answer 15

yeah

Answer 16

so we found that (0,0) and (2,1) belong to y=0.5 (we calculated that)
and we see those same two points are on the purple line in the graph.
once we know 2 (or more) points belong to the equation and to the purple line we know the equation y= 0.5x *is* the purple line.

Answer 17

huh

Answer 18

another way to say it:
the purple line has some equation that tells us what points are on it.
the equation is y= 0.5x

Answer 19

ok

Answer 20

now read the 4 choices. remember, the equation y=0.5x tells us what points are on the purple line.

Answer 21

this is the only subject i have a bad grade i got AS an BS in all the other ones i have a f in this class

Answer 22

it's possible to learn (but it might take hard work)

do any of the 4 choices sound wrong ? (so we can cross them off)

Answer 23

B

Answer 24

the equation y=0.5x tells us what points are on the purple line.

which choice seems to be saying that ?

Answer 25

c

Answer 26

choice C says
**c. no the points shown would not be part of y=0.5x***

but equation y=0.5x tells us what points are on the purple line.

Answer 27

0,0 and 2,1

Answer 28

in other words, choice C is saying
"the purple line on the graph is *not* y=0.5x"

but the purple line *is* y=0.5x

Answer 29

the question is really asking: are the purple line and the equation y=0.5x the same ?
and the answer is Yes.

Answer 30

so the correct answer is choice A

Answer 31

thank you so much