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 . (type an ordered pair.)

Explanation:

Step1: Determine the x - coordinate

To find the x - coordinate of the point, we look at the horizontal (x - axis) position. The point is 6 units to the left of the origin (since it's in the negative x - direction). So the x - coordinate is - 6.

Step2: Determine the y - coordinate

To find the y - coordinate of the point, we look at the vertical (y - axis) position. The point is 4 units below the origin (since it's in the negative y - direction). So the y - coordinate is - 4.

Step3: Form the ordered pair

An ordered pair is in the form (x, y). Using the x - coordinate (-6) and y - coordinate (-4) we found, the ordered pair is (-6, -4).

Answer:

\((-6, -4)\)