Subjects coordinate geometry

Point Quadrants 455E55

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We are given points C(6,0), D(0,-3), E(-2,0), H(-1,-5), and I(-3,2). We need to list each ordered pair and identify which quadrant or axis each point lies on. 2. **Recall the quadrant and axis rules:** - Quadrant I: $x>0$, $y>0$ - Quadrant II: $x<0$, $y>0$ - Quadrant III: $x<0$, $y<0$ - Quadrant IV: $x>0$, $y<0$ - On the x-axis: $y=0$, $x\neq0$ - On the y-axis: $x=0$, $y\neq0$ 3. **Analyze each point:** - $C(6,0)$: $y=0$, $x=6>0$ so on the positive x-axis. - $D(0,-3)$: $x=0$, $y=-3<0$ so on the negative y-axis. - $E(-2,0)$: $y=0$, $x=-2<0$ so on the negative x-axis. - $H(-1,-5)$: $x=-1<0$, $y=-5<0$ so in Quadrant III. - $I(-3,2)$: $x=-3<0$, $y=2>0$ so in Quadrant II. 4. **Final list:** - $C(6,0)$: positive x-axis - $D(0,-3)$: negative y-axis - $E(-2,0)$: negative x-axis - $H(-1,-5)$: Quadrant III - $I(-3,2)$: Quadrant II This completes the identification of each point's location on the coordinate plane.