- #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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