Question

5 in which quadrant is each point located? (8, 2) (-5, 0) (0, 4) (-1, 4) (-3, -6) (0, -7) (-3, 6) (9, -4) drag & drop the answer x - axis y - axis quadrant iii quadrant ii quadrant iv quadrant i note: use ctrl + d to drag the option via keyboard

Explanation:

Step1: Determine the quadrant for \((8,2)\)

In Quadrant I, both \(x\) and \(y\) are positive. For the point \((8,2)\), \(x = 8>0\) and \(y=2>0\).

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

Points of the form \((x,0)\) lie on the \(x -\)axis. Here \(x=-5\) and \(y = 0\).

Step3: Determine the location for \((0,4)\)

Points of the form \((0,y)\) lie on the \(y -\)axis. Here \(x = 0\) and \(y=4\).

Step4: Determine the quadrant for \((-1,4)\)

In Quadrant II, \(x<0\) and \(y>0\). For the point \((-1,4)\), \(x=-1<0\) and \(y = 4>0\).

Step5: Determine the quadrant for \((-3,-6)\)

In Quadrant III, both \(x\) and \(y\) are negative. For the point \((-3,-6)\), \(x=-3<0\) and \(y=-6<0\).

Step6: Determine the location for \((0,-7)\)

Points of the form \((0,y)\) lie on the \(y -\)axis. Here \(x = 0\) and \(y=-7\).

Step7: Determine the quadrant for \((-3,6)\)

In Quadrant II, \(x<0\) and \(y>0\). For the point \((-3,6)\), \(x=-3<0\) and \(y = 6>0\).

Step8: Determine the quadrant for \((9,-4)\)

In Quadrant IV, \(x>0\) and \(y<0\). For the point \((9,-4)\), \(x=9>0\) and \(y=-4<0\).

Answer:

\((8,2)\): Quadrant I
\((-5,0)\): \(x -\)axis
\((0,4)\): \(y -\)axis
\((-1,4)\): Quadrant II
\((-3,-6)\): Quadrant III
\((0,-7)\): \(y -\)axis
\((-3,6)\): Quadrant II
\((9,-4)\): Quadrant IV