Respuesta :

Answer:

12x + 4y = - 7

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and A, B are integers )

given

y + [tex]\frac{1}{4}[/tex] = - 3(x + [tex]\frac{1}{2}[/tex]) ← distribute

y + [tex]\frac{1}{4}[/tex] = - 3x - [tex]\frac{3}{2}[/tex]

Multiply through by 4 to eliminate the fractions

4y + 1 = - 12x - 6 ( add 12x to both sides )

12x + 4y + 1 = - 6 ( subtract 1 from both sides )

12x + 4y = - 7 ← in standard form

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