anonymous
  • anonymous
Which inequality matches the graph? X, Y graph. X range is negative 10 to 10, and Y range is negative 10 to 10. Dashed line on graph has positive slope and runs through negative 10, negative 9 and negative 1, negative 3 and 8, 3. Above line is shaded. −2x + 3y > 7 2x − 3y < 7 −3x + 2y ≥ 7 3x − 2y ≤ 7
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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DanJS
  • DanJS
you can use 2 points (-10 , -9) and (-1 , -3) to calculate the slope, and use the point-slope form to get your equation for the line
DanJS
  • DanJS
you can rearrange that to the standard form as in the choices

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DanJS
  • DanJS
y is greater than, (dotted line and shaded above)
anonymous
  • anonymous
What? @DanJS
DanJS
  • DanJS
slope = m = (change in y value)/(change in x value) = [-3 - (-9)] / [-1 - (-10)] m = 6/9 = 2/3
anonymous
  • anonymous
okay so
DanJS
  • DanJS
Using that slope m=2/3 and any point on the line, (x1,y1)= (-1, -3) Point-Slope Form: y - y1 = m*(x-x1)
anonymous
  • anonymous
okay
DanJS
  • DanJS
y - (-3) = (2/3)*(x - (-1))
anonymous
  • anonymous
mhhmm
DanJS
  • DanJS
y + 3 = (2/3)x + (2/3) y = (2/3)*x - (7/3)
anonymous
  • anonymous
okkk
DanJS
  • DanJS
From the graph, it is a dotted line meaning it is > or < not equal to, and shaded above means greater, so y is greater than y > (2/3)*x - (7/3)
DanJS
  • DanJS
that is the inequality, just have to put it into the standard form
anonymous
  • anonymous
A?
anonymous
  • anonymous
B? LOL i am so stupid
DanJS
  • DanJS
multiply everything by 3 3y > 2x - 7 -2x + 3y > -7 yep
DanJS
  • DanJS
yeah they just multiplied everything by -1
DanJS
  • DanJS
which flips the sign th eothe rway 2x - 3y < 7
anonymous
  • anonymous
so b? @DanJS
anonymous
  • anonymous
@DanJS Was this B?
anonymous
  • anonymous
@DanJS please @heretohelpalways
anonymous
  • anonymous
is it B?

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