BioHazard9064
  • BioHazard9064
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Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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BioHazard9064
  • 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
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Nnesha
  • 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
  • Nnesha
line is increasing OR decreasing ?

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BioHazard9064
  • BioHazard9064
Decreasing
Nnesha
  • Nnesha
so slope would be negative or positive ?
BioHazard9064
  • BioHazard9064
negative
Nnesha
  • Nnesha
great now look at the graph at what point line intersect the y-axis ?
BioHazard9064
  • BioHazard9064
6
Nnesha
  • Nnesha
so y = mx + b b= y intercept substitute b for 6
Nnesha
  • Nnesha
|dw:1440081626618:dw| slope = rise over run
BioHazard9064
  • BioHazard9064
OK so
BioHazard9064
  • BioHazard9064
Is it D?
Nnesha
  • Nnesha
|dw:1440081752851:dw| do you see triangles you should draw a triangle where line intersect the corner
Nnesha
  • Nnesha
slope = rise over run |dw:1440081848549:dw|
BioHazard9064
  • BioHazard9064
ok i don't fully understand
Nnesha
  • Nnesha
okay so have y = mx+6 and u know that slope would be negative right ?
Nnesha
  • Nnesha
now pick two points to find slope
Nnesha
  • Nnesha
|dw:1440081994974:dw| can we use those two points look at the graph where i draw a dot x=what y = what ?
Nnesha
  • 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
  • BioHazard9064
so it would look like this? 0-2 _________ 6-6 am I right?
Nnesha
  • Nnesha
no (x,y)(0,6) first number represents x-coordinate 2nd one is y-coordinate so 0 is x or y ?
BioHazard9064
  • BioHazard9064
its the x
BioHazard9064
  • BioHazard9064
so it would look the same only the numbers are opposite
Nnesha
  • 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
  • BioHazard9064
so it would look like 6-6 ----- 0-6
BioHazard9064
  • BioHazard9064
no wait that 6 is supposed ti be a 2
Nnesha
  • Nnesha
|dw:1440083028882:dw| what is y_1and y_2 ? remember y's should be at the top
BioHazard9064
  • BioHazard9064
thy y's are 6 and 2
Nnesha
  • Nnesha
yes right so 2-6/6-0
BioHazard9064
  • BioHazard9064
2-6 is 4 and 6-0 is 6
Nnesha
  • Nnesha
no 2-6= ?
BioHazard9064
  • BioHazard9064
4 or -4
Nnesha
  • Nnesha
-4/6 negative cuz bigger number is negative now reduce the fraction -4/6= ? divide by 2
BioHazard9064
  • BioHazard9064
-2/3
Nnesha
  • Nnesha
yes right that's ur slope :)
BioHazard9064
  • BioHazard9064
ok so its between B and C
BioHazard9064
  • BioHazard9064
I Believe that B is the answer
Nnesha
  • Nnesha
y=mx+b what is ur slope ??
Nnesha
  • Nnesha
and what is y-intercept
BioHazard9064
  • BioHazard9064
-2/3 is the slope
BioHazard9064
  • BioHazard9064
and the y int is 6
Nnesha
  • Nnesha
yes so y = mx+ b replace m with -2/x and b with 6
Nnesha
  • Nnesha
i mean -2/3
BioHazard9064
  • BioHazard9064
y = -2/3x + 6
BioHazard9064
  • BioHazard9064
oh I forgot the - so it would be C
Nnesha
  • Nnesha
yep C
BioHazard9064
  • BioHazard9064
thanks
Nnesha
  • Nnesha
my pleasure

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