Question

Which of the following lines has a slope of -1/2?
x + 2y = 0
x - 2y = 0
-x + 2y = 0

Answer 1

Rearrange the equations to the general formula of a line, y= mx+c where m is the gradient

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

First option is the answer.

Im just gonna work out the rest, to let you see how it works

For x- 2y = 0
2y = x
y= x/2

The gradient in this case is 1/2

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

Same here the gradient is 1/2