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Mathematics 23 Online
OpenStudy (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

OpenStudy (anonymous):

OpenStudy (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

OpenStudy (danjs):

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

OpenStudy (danjs):

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

OpenStudy (anonymous):

What? @DanJS

OpenStudy (danjs):

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

OpenStudy (anonymous):

okay so

OpenStudy (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)

OpenStudy (anonymous):

okay

OpenStudy (danjs):

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

OpenStudy (anonymous):

mhhmm

OpenStudy (danjs):

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

OpenStudy (anonymous):

okkk

OpenStudy (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)

OpenStudy (danjs):

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

OpenStudy (anonymous):

A?

OpenStudy (anonymous):

B? LOL i am so stupid

OpenStudy (danjs):

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

OpenStudy (danjs):

yeah they just multiplied everything by -1

OpenStudy (danjs):

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

OpenStudy (anonymous):

so b? @DanJS

OpenStudy (anonymous):

@DanJS Was this B?

OpenStudy (anonymous):

@DanJS please @heretohelpalways

OpenStudy (anonymous):

is it B?

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