Question

plot $(-3,6),(0,-5)$, and $(6,-2)$ in the $xy$-plane. tell in which quadrant or on what coordinate axis each point lies.
(a) choose the graph that correctly plots the point $(-3,6)$.
in which quadrant does the point $(-3,6)$ lie?
quadrant iv
quadrant iii
quadrant ii
quadrant i
(b) choose the graph that correctly plots the point $(0,-5)$

Explanation:

Step1: Determine the quadrant for \((-3,6)\)

In the \(xy -\)plane, for a point \((x,y)\), if \(x<0\) and \(y > 0\), the point lies in quadrant II. For the point \((-3,6)\), \(x=-3<0\) and \(y = 6>0\).

Step2: Determine the position for \((0,-5)\)

For a point \((x,y)\), if \(x = 0\), the point lies on the \(y -\)axis. For the point \((0,-5)\), \(x = 0\).

Answer:

• The point \((-3,6)\) lies in quadrant II.
• The point \((0,-5)\) lies on the \(y -\)axis.
• For the point \((6,-2)\), since \(x=6>0\) and \(y=-2<0\), it lies in quadrant IV.