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
