select the point which lies in the third quadrant.\nanswer\n$(-2, 4)$ $(-4, -2)$\n$(4, 2)$ $(2, -4)$

Explanation:

Step1: Recall third quadrant rule

Points in the third quadrant have both $x<0$ and $y<0$.

Step2: Evaluate each option

• $(-2,4)$: $x=-2<0$, $y=4>0$ (2nd quadrant)
• $(4,2)$: $x=4>0$, $y=2>0$ (1st quadrant)
• $(-4,-2)$: $x=-4<0$, $y=-2<0$ (3rd quadrant)
• $(2,-4)$: $x=2>0$, $y=-4<0$ (4th quadrant)

Answer:

$(-4,-2)$