Subjects geometry

Quadrant Identification A592D3

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Question: Observe each colored point from the grid and the corresponding ordered pair. Which point is in Quadrant I? $(5,4.2)$ Which point is in Quadrant II? $(-3,4)$ Which point is in Quadrant III? $(-5,-2)$ Which point is in Quadrant IV? $(2,-1)$ Graph shapes and math: A coordinate plane grid with five colored points plotted: one green point at top-left around $(-5,-2)$, one red point in Quadrant II around $(-3,4)$, one blue point on the positive y-axis at about $(0,5)$, one black point in Quadrant I around $(5,4)$, and one orange point in Quadrant IV around $(9,3)$; position_hint = center Which point is in quadrant 1?
1. **State the problem:** Identify which points lie in each of the four quadrants of the coordinate plane. 2. **Recall quadrant rules:** - Quadrant I: $x > 0$, $y > 0$ - Quadrant II: $x < 0$, $y > 0$ - Quadrant III: $x < 0$, $y < 0$ - Quadrant IV: $x > 0$, $y < 0$ 3. **Check each point:** - $(5,4.2)$: $x=5 > 0$, $y=4.2 > 0$ so Quadrant I. - $(-3,4)$: $x=-3 < 0$, $y=4 > 0$ so Quadrant II. - $(-5,-2)$: $x=-5 < 0$, $y=-2 < 0$ so Quadrant III. - $(2,-1)$: $x=2 > 0$, $y=-1 < 0$ so Quadrant IV. 4. **Answer:** - Point in Quadrant I: $(5,4.2)$ - Point in Quadrant II: $(-3,4)$ - Point in Quadrant III: $(-5,-2)$ - Point in Quadrant IV: $(2,-1)$ 5. **Additional note:** The orange point at $(9,3)$ mentioned is actually in Quadrant I, but the question focuses on the given points. **Final answer:** The point in Quadrant I is $(5,4.2)$.