Question

Which is the graph of y=1/2x?

A. http://static.k12.com/calms_media/media/1503500_1504000/1503772/1/5afd0b9bb4861bae518958d61ebaa2a6f9dddcc4/MS_IMC-140523-131303.jpg

B. http://static.k12.com/calms_media/media/1503500_1504000/1503783/1/17761cebebae1d8538053aa11c62dfbf6c7f794f/MS_IMC-140523-1313019.jpg

C. http://static.k12.com/calms_media/media/1503500_1504000/1503782/1/a2a4fea3c53d2a02f140780631b06aef06c794c4/MS_IMC-140523-1313013.jpg

D. http://static.k12.com/calms_media/media/1503500_1504000/1503781/1/24c8ee5bb5a616ae73b02f06225d167c50b337f3/MS_IMC-140523-1313012.jpg

Answer 1

the slope is?

Answer 2

\[y=\frac{ 1 }{ 2 }x\]

Answer 3

that is the entire line, but can you tell me which is the slope?

Answer 4

I think it is B but I am not sure

Answer 5

we can take it slowly, and I can explain... it seems as though that you are trying to guess the answer, but let's actually learn this.
Bu no means do I want to be rude, but lets start from what a slope is, firstly.

Answer 6

How can it be B when the line is going downwards? it would be a negative slope then, which 1/2x is not

Answer 7

your right I am trying to guess it I don't know that slope

Answer 8

Okay:
When you have: \(\LARGE\color{black}{ \color{green}{y}=\color{red}{m}\color{blue}{x} }\)
then, \(\LARGE\color{black}{ \color{red}{m} }\) is the slope.

what does it mean, "slope" ?
An example of a line:
\(\LARGE\color{black}{ \color{green}{y}=\color{red}{2}\color{blue}{x} }\)

lets find some points.
~~~~~~~~~~~~~~~~~~~
when x=1, then y=2
(because y=2 * (1)
y= 2)
~~~~~~~~~~~~~~~~~~~
when x=2, then y=4
(because y=2 * (2)
y= 4)
~~~~~~~~~~~~~~~~~~~
when x=3, then y=6
(because y=2 * (3)
y= 6)

(I am plugging in some x to find y)

Answer 9

lets observe the points we have:

x y
\(\LARGE\color{black}{ (\color{red}{1},\color{green}{2}) }\)
\(\LARGE\color{black}{ (\color{red}{2},\color{green}{4}) }\)
\(\LARGE\color{black}{ (\color{red}{3},\color{green}{6}) }\)

Answer 10

you can see that as x goes up by 1, the y increases by 2, correct?
@TeenWolfGirl

Answer 11

yea

Answer 12

that means that the slope is 2.

Answer 13

This is just a prove for this, but we will be always able to say that:

Line: Slope:
~~~~~~~~~~~~~~~~~~~~~~~~
\(\LARGE\color{black}{ y=\color{red}{3}x }\) \(\LARGE\color{black}{ \color{red}{3} }\)

\(\LARGE\color{black}{ y=\color{red}{0.2}x }\) \(\LARGE\color{black}{ \color{red}{0.2} }\)

\(\LARGE\color{black}{ y=\color{red}{\frac{1}{3}}x }\) \(\LARGE\color{black}{ \color{red}{\frac{1}{3}} }\)

Answer 14

So when you line is: \(\LARGE\color{black}{ y=\color{red}{\frac{1}{2}}x }\) , then what is the slope?

Answer 15

your* line.

Answer 16

0.5

Answer 17

yes, the slope is \(\LARGE\color{black}{ \color{red}{\frac{1}{2}} }\)

Answer 18

brb bathroom

Answer 19

back

Answer 20

that means that as x goes up by 1 unit, the y goes up by 0.5 units.
To be able to visualize this easier, think of it as:

as y goes up by 2 units, the x goes up by 1.

\(\large\color{black}{ _{1~~\text{___}} }\)
\(\LARGE\color{black}{ \cancel{~~\color{white}{|}~~~~~~~~~}\huge|}\)
\(\LARGE\color{black}{ \huge{^\text{_________}} }\)

| | |
0 1 2

Answer 21

this is the angle you are looking for. it has to be going up as steep as this.

1 y unit up and 2 x units to the right.

Answer 22

can you find the line that goes up exactly like this (In your options) ?

Answer 23

yea....C

Answer 24

yes C is right!

Answer 25

thanks

Answer 26

Yes, so we just visualize what it means to have a slope of 1/2:)

yw