Put the following equation of a one into a slope -intercept form, simplifying all fractions. 8x+6y=-54

y = -4/3x -9

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

8x+6y = -54

Subtract 8x from each side

8x+6y-8x = -8x-54

6y = -8x-54

Divide each side by 6

6y/6 = -8x/6 -54/6

y = -4/3x -9

y = -4/3x - 9

Step-by-step explanation:

Putting this into 'y=mx+c' form:

i) Firstly, make it only y on the LHS:

6y = -8x-54

ii) Secondly, making the 'y' have a co-efficient of 1. This can be done by dividing both sides by 6:

6y/6 = -8x/6 - 54/6

y = -4/3x - 9

Hence,

y = -4/3x - 9

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h= 12 inches

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