Question

for the point shown in the xy-plane, write the corresponding ordered pair and name the quadrant in which it lies or the axis on which it lies. the ordered pair associated with the given point is (-6, -4). (type an ordered pair.) where does the point lie?
a. quadrant ii
b. y-axis
c. quadrant iii
d. quadrant i
e. quadrant iv
f. x-axis

Explanation:

To determine the quadrant of a point \((x, y)\) in the xy - plane:

• Quadrant I: \(x>0,y > 0\)
• Quadrant II: \(x<0,y>0\)
• Quadrant III: \(x < 0,y < 0\)
• Quadrant IV: \(x>0,y < 0\)

For the point \((-6,-4)\), the \(x\) - coordinate \(x=-6<0\) and the \(y\) - coordinate \(y = - 4<0\). So, the point lies in Quadrant III.

Answer:

C. Quadrant III