Subjects algebra

Coordinate Quadrants Fa849C

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1. The problem asks to identify the location of points on the coordinate plane and determine their quadrant or axis. 2. Recall the rules for quadrants: - Quadrant I: $x>0$, $y>0$ - Quadrant II: $x<0$, $y>0$ - Quadrant III: $x<0$, $y<0$ - Quadrant IV: $x>0$, $y<0$ - On the x-axis if $y=0$ - On the y-axis if $x=0$ 3. For each point, write the ordered pair and identify the quadrant or axis: **Example 1:** - A $(1, -1.5)$: $x=1>0$, $y=-1.5<0$ so Quadrant IV - B $(-2, 0.5)$: $x=-2<0$, $y=0.5>0$ so Quadrant II - C $(-1, -1.5)$: $x=-1<0$, $y=-1.5<0$ so Quadrant III - D $(0, 1.5)$: $x=0$, so on the y-axis **Example 2:** - $(\frac{1}{2}, \frac{1}{2})$: both positive, Quadrant I - $(-1, 1 \frac{1}{2})$: $x<0$, $y>0$, Quadrant II - $(-2, 0)$: $y=0$, on the x-axis - $(2, -1 \frac{1}{2})$: $x>0$, $y<0$, Quadrant IV **Example 3-4:** - A $(0.5, 1)$: $x>0$, $y>0$, Quadrant I - B $(1.5, -1.5)$: $x>0$, $y<0$, Quadrant IV - C $(1.5, 0)$: $y=0$, on the x-axis - D $(-1.5, 2.5)$: $x<0$, $y>0$, Quadrant II - E $(0, -2)$: $x=0$, on the y-axis - F $(-2, -1)$: $x<0$, $y<0$, Quadrant III Final answers: 1. A: Quadrant IV 2. B: Quadrant II 3. C: Quadrant III 4. D: y-axis 5. $(\frac{1}{2}, \frac{1}{2})$: Quadrant I 6. $(-1, 1 \frac{1}{2})$: Quadrant II 7. $(-2, 0)$: x-axis 8. $(2, -1 \frac{1}{2})$: Quadrant IV 9. A: Quadrant I 10. B: Quadrant IV 11. C: x-axis 12. D: Quadrant II 13. E: y-axis 14. F: Quadrant III