Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

a- x − 2y = −12
b- y = one halfx
c- y = one halfx + 6
d-y = one halfx + 9

a

Step-by-step explanation:

Given

y - 3 = (x + 6)

Multiply through by 2 to clear the fraction

2y - 6 = x + 6 ( subtract 2y from both sides )

- 6 = x - 2y + 6 ( subtract 6 from both sides )

- 12 = x - 2y, that is

x - 2y = - 12 → a

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient