The y intercept, to the nearest hundredth, of the line -9y=7x+8

(0, -0.89) or -0.89

Step-by-step explanation:

Step 1:  Solve for y by dividing both sides by -9

-9y = 7x + 8

-9y / -9 = (7x + 8) / -9

y = -7/9x - 8/9

Step 2:  Identify the y-intercept

y = mx + b

m is slope

b is y-int

y = -7/9x - 8/9

Answer = (0, -0.89) or -0.89

-0.89

Step-by-step explanation:

(see attached graphic for reference)

recall that the slope-intercept form of a line looks something likeL

y = mx + b

where m is the slope and b is the y-intercept.

Hence all we need to do is to rearrange our equation so that it looks like the one above.

-9y=7x+8    (divide both sides by -9)

-9y / (-9) = (7x+8) / (-9)

y = (7x+8) / (-9)   (use distributive property )

y = [  7x / (-9) ] +    [  8/(-9)  ]  

y = (-7/9)x + (-8/9)

comparing this equation with the general equation above,

we can see that the

y-intercept , b

= -8/9

= -0.88888..............

= -0.89 (nearest hundredth)

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

sorry not sure

step-by-step explanation: