Question

Will someone please help me understand? I don't know why I got the answer wrong.

Answer 1

x + 2y = 0.

Explanation:

Let's see what slope we get with the answer you gave:

- x + 2y = 0

Convert to slope/intercept form ( y = mx + c).

- x + x + 2y = 0 + x ( adding x to both sides of the equation).

2y = x

Divide both sides by 2:

y = 1/2 x

That is the slope is 1/2.

Correct is x + 2y = 0:

2y = -x

y = -1/2 x

Answer 2

You need to rewrite the given equations in standard form y = mx +b, where m is the slope.

First equation:

x + 2y = 0

Subtract x from each side:

2y = -x + 0

Divide both sides by 2:

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

This give you a negative 1/2 slope

The first equation is the correct one.