- #1

#### nycmathguy

- Homework Statement
- Quadrants on the xy-plane.

- Relevant Equations
- Linear Equations

Determine the quadrant(s)

in which (x, y) could be located.

Chapter 1, Section 1.1

13. x + y = 0, x ≠ 0, y ≠ 0

Let me see.

x + y = 0

I can solve for y.

y = - x

If y is - x, we get the point (x, - x).

This leads me to see a point in quadrant 4.

I can also solve for x.

If I do so, I get x = - y.

This leads to the point (-y , y), which takes me into quadrant 2.

I say the answer is quadrants 2 and 4.

You say?

in which (x, y) could be located.

Chapter 1, Section 1.1

13. x + y = 0, x ≠ 0, y ≠ 0

Let me see.

x + y = 0

I can solve for y.

y = - x

If y is - x, we get the point (x, - x).

This leads me to see a point in quadrant 4.

I can also solve for x.

If I do so, I get x = - y.

This leads to the point (-y , y), which takes me into quadrant 2.

I say the answer is quadrants 2 and 4.

You say?

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