Question

Put the equation in standard form with a positive X coefficient. y+1/4 = -3(x+1/2) ​

Answer 1

12x + 4y = - 7

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 +
`(1)/(4)` = - 3(x +
`(1)/(2)`) ← distribute

y +
`(1)/(4)` = - 3x -
`(3)/(2)`

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