Question

Which of the following represents y = 1/2 x - 1 in the general form of a line?

-1/2x + y = -1
x - 2y - 2 = 0
-x + 2y + 2 = 0
-1/2x + y + 1 = 0

Answer 1

x-2y-2=0

Explanation:

basically what the above answerer said

Answer 2

x - 2y - 2 = 0

Explanation:

`\text{The general form of an equation of a line:}\\\\Ax+By+C=0\\\\\text{We have the equation}\\\\y=(1)/(2)x-1\\\\\text{Convert to the general form:}\\\\y=(1)/(2)x-1\qquad\text{multiply both sides by 2}\\\\2y=2\left((1)/(2)x\right)-(2)(1)\\\\2y= x-2\qquad\text{subtract}\ 2y\ \text{from both sides}\\\\0=x-2y-2`