Question

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

Short answer

The coordinates of the point shown are $(-6,-4)$and it lies in quadrant III.

Step-by-step solution

Step 1. Given information.

The given graph is:

Step 2. Determine the coordinates.

First note that the scale of x-axis is 2 and the scale of y-axis is 2.

The point shown is 3 tick units to the left on the horizontal axis (scale = 2) and 2 tick units down on the vertical axis (scale = 2).

The point lies in quadrant III, which means both coordinates are negative. So, the required coordinates are .

Step 3. Conclusion.

The coordinates of the point shown are $(-6,-4)$and it lies in quadrant III.