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- BioHazard9064

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- BioHazard9064

Choose the equation that represents the graph below:
A. y = -2x - 6
B. y = 2 over 3x + 6
C. y = -2 over 3x + 6
D. y = 2x + 6

##### 1 Attachment

- Nnesha

y=mx+b is a slope intercept form where m is slope and b is y-intercept
if line is increasing then slope would be POSITIVE
if line is decreasing then slope would be NEGATIVE
y-intercept is a point where line cross y-axis

- Nnesha

line is increasing OR decreasing ?

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## More answers

- BioHazard9064

Decreasing

- Nnesha

so slope would be negative or positive ?

- BioHazard9064

negative

- Nnesha

great
now look at the graph at what point line intersect the y-axis ?

- BioHazard9064

6

- Nnesha

so y = mx + b
b= y intercept
substitute b for 6

- Nnesha

|dw:1440081626618:dw|
slope = rise over run

- BioHazard9064

OK so

- BioHazard9064

Is it D?

- Nnesha

|dw:1440081752851:dw|
do you see triangles
you should draw a triangle where line intersect the corner

- Nnesha

slope = rise over run |dw:1440081848549:dw|

- BioHazard9064

ok i don't fully understand

- Nnesha

okay so have y = mx+6
and u know that slope would be negative right ?

- Nnesha

now pick two points to find slope

- Nnesha

|dw:1440081994974:dw| can we use those two points
look at the graph where i draw a dot x=what y = what ?

- Nnesha

|dw:1440082179347:dw|
slope formula \[\huge\rm \frac{ y_2 -y_1 }{ x_2-x_1 }\] now use these two poitns (0,6)(6,2) plug into the formula

- BioHazard9064

so it would look like this?
0-2
_________
6-6
am I right?

- Nnesha

no (x,y)(0,6) first number represents x-coordinate
2nd one is y-coordinate so 0 is x or y ?

- BioHazard9064

its the x

- BioHazard9064

so it would look the same only the numbers are opposite

- Nnesha

now y's should be at the top and x's at the bottom of the fraction
so 0 shouldn't be there

- BioHazard9064

so it would look like
6-6
-----
0-6

- BioHazard9064

no wait that 6 is supposed ti be a 2

- Nnesha

|dw:1440083028882:dw|
what is y_1and y_2 ? remember y's should be at the top

- BioHazard9064

thy y's are 6 and 2

- Nnesha

yes right so 2-6/6-0

- BioHazard9064

2-6 is 4 and 6-0 is 6

- Nnesha

no 2-6= ?

- BioHazard9064

4 or -4

- Nnesha

-4/6
negative cuz bigger number is negative now reduce the fraction
-4/6= ? divide by 2

- BioHazard9064

-2/3

- Nnesha

yes right that's ur slope :)

- BioHazard9064

ok so its between B and C

- BioHazard9064

I Believe that B is the answer

- Nnesha

y=mx+b
what is ur slope ??

- Nnesha

and what is y-intercept

- BioHazard9064

-2/3 is the slope

- BioHazard9064

and the y int is 6

- Nnesha

yes so y = mx+ b
replace m with -2/x
and b with 6

- Nnesha

i mean -2/3

- BioHazard9064

y = -2/3x + 6

- BioHazard9064

oh I forgot the - so it would be C

- Nnesha

yep C

- BioHazard9064

thanks

- Nnesha

my pleasure

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