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- 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

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- anonymous

- jamiebookeater

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- anonymous

- 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

you can rearrange that to the standard form as in the choices

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- DanJS

y is greater than, (dotted line and shaded above)

- anonymous

What? @DanJS

- DanJS

slope = m = (change in y value)/(change in x value) = [-3 - (-9)] / [-1 - (-10)]
m = 6/9 = 2/3

- anonymous

okay so

- 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

okay

- DanJS

y - (-3) = (2/3)*(x - (-1))

- anonymous

mhhmm

- DanJS

y + 3 = (2/3)x + (2/3)
y = (2/3)*x - (7/3)

- anonymous

okkk

- 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

that is the inequality, just have to put it into the standard form

- anonymous

A?

- anonymous

B? LOL i am so stupid

- DanJS

multiply everything by 3
3y > 2x - 7
-2x + 3y > -7
yep

- DanJS

yeah they just multiplied everything by -1

- DanJS

which flips the sign th eothe rway
2x - 3y < 7

- anonymous

so b? @DanJS

- anonymous

@DanJS Was this B?

- anonymous

@DanJS please @heretohelpalways

- anonymous

is it B?

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