Respuesta :

Si you would subtract 6x from both sides so you would have 9y=1500-6x. Then you would divide both sides by 9 and get y=166.66-6/9x. The -6/9x can be reduced to -2/3x and that is your slope or your
rise/run and the only graph that show this is the second one

Answer:

option B

Step-by-step explanation:

movie ticket sales: [tex]6x+9y=1500[/tex]

To find the graph that gives the relationship , we need to make a table'

First we solve the equation for y

[tex]6x+9y=1500[/tex]

Subtract 6x on both sides

[tex]9x= -6x + 1500[/tex]

Divide both sides by 9

[tex]y=\frac{-2}{3}x + \frac{500}{3}[/tex]

Now make a table. Use random number for x

x                       [tex]y=\frac{-2}{3}x + \frac{500}{3}[/tex]

0                       [tex]\frac{-2}{3}(0) + \frac{500}{3}=166.6[/tex]

100                   [tex]\frac{-2}{3}(100) + \frac{500}{3}=100[/tex]

Two points are (0,166.6) and (100, 100)

option B is the correct graph

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