Q. 17 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

The coordinates of the point shown are $(-1,4)$ and it lies in quadrant II.

Step 1. Given information.

The given graph is:

Step 2. Determine the coordinates.

First note that the scale of x-axis is 1 and the scale of y-axis is 2.

The point shown is 1 tick unit to the left on the horizontal axis (scale = 1) and 2 tick up on the vertical axis (scale = 2). 

The point lies in quadrant II, it means the x-coordinate is negative and the y-coordinate is positive. So, the required coordinates are $(-1,4)$.

Step 3. Conclusion.

The coordinates of the point shown are $(-1,4)$ and it lies in quadrant II.