Question

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


x − 2y = −12


y = one halfx


y = one halfx + 6


y = one halfx + 9

Answer 1

The standard form of linear equation has x and y terms on one side of the equation and constant term on the other side. The coefficients of x and y terms are integers.

$y-3= \frac{1}{2}(x+6) \\ \\ 2(y-3)=x+6 \\ \\ 2y-6=x+6 \\ \\ -6-6=x-2y \\ \\ x-2y=-12$

Therefore, option A is the correct answer.