Write the equation 4x − 3y = 12 in the form y = mx + b.

a- y equals start fraction four over three end fraction x minus four
b- y equals start fraction four over three end fraction x minus 12
c- y equals start fraction four over three end fraction x plus four
d- y equals negative start fraction four over three end fraction x minus four

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Answer:

Step-by-step explanation:

a- y equals start fraction four over three end fraction x minus four

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Answer:

a is the correct answer   y = [tex]\frac{4}{3} x - 4[/tex]

Step-by-step explanation:

To write the equation 4x - 3y  = 12 in the form y=mx + b,  we need to make y subject of the formula in the equation 4x - 3y = 12;

4x - 3y = 12

subtract 4x from both-side of the equation;

4x -4x -3y  =  12 - 4x

-3y  =  12- 4x

we want to make the left hand side of the equation positive, so we multiply through by a negative sign.

The equation becomes;

3y = -12 + 4x

We can rearrange this equation, hence;

3y = 4x - 12

Divide through by 3

[tex]\frac{3y}{3} = \frac{4x}{3} - \frac{12}{3}[/tex]

(On the left hand side of the equation, the 3 numerator will cancel the 3 denominator leaving us with just y, on the right hand side of the equation 3 will divide -12 which will give us -4)

y  =  [tex]\frac{4}{3} x[/tex]    -    4