Please check my answers! :

The ordered pair (-3, -7) is located in which quadrant on the Cartesian plane?
A. Quadrant I
B. Quadrant II
C. Quadrant III***
D. Quadrant IV

Point (0, -3) lies
A. on the x-axis***
B. on the y-axis
C. in Quadrant III
D. in Quadrant IV

yes

no ... (-3,0) lies on the x-axis

one for two ...

the x and y axes cross at the origin (0,0)
... so zero on one axis is where the other axis crosses it

Looks like I mixed up the axes.

To determine the quadrant in which an ordered pair is located on the Cartesian plane, you need to consider the signs of the x- and y-coordinates.

For the first question, the ordered pair (-3, -7) has both negative x- and y-coordinates. In the Cartesian plane, the positive x-axis is to the right of the origin, and the negative x-axis is to the left. The positive y-axis is above the origin, and the negative y-axis is below.

Since both coordinates are negative, the ordered pair (-3, -7) is located in Quadrant III.

For the second question, the point (0, -3) has a y-coordinate of -3 and an x-coordinate of 0. The x-coordinate of 0 means that the point lies on the y-axis, since the y-axis passes through all points where the x-coordinate is 0.

Therefore, the point (0, -3) lies on the y-axis.