Question

plot the ordered pair (-4,6). state in which quadrant or on which axis the point lies. plot the ordered pair on the graph to the right.

Explanation:

Step1: Recall coordinate - plane rules

In a two - dimensional coordinate plane, for an ordered pair $(x,y)$, if $x\lt0$ and $y\gt0$, the point lies in the second quadrant.

Step2: Analyze the given point

The given ordered pair is $(-4,6)$. Here, $x=-4\lt0$ and $y = 6\gt0$.

Answer:

The point $(-4,6)$ lies in the second quadrant. To plot it, start at the origin $(0,0)$. Move 4 units to the left along the x - axis (because $x=-4$) and then 6 units up along the y - axis (because $y = 6$).