This is not a function, therefore, the slope is undefined.
I would propose using a VERTICAL LINE TEST. This test is to check vertically if there are more than one coordinates/points in one vertical line. That line is vertical, and there are many points, which makes it not a function. And if it is not a function, then the slope is undefined.
The slope, also, is the average rate of change. The formula you use to find the slope is . You would take any coordinates and insert them into this formula.
Slope would be undefined because there are many many y-values for one x value. This is impossible for ANY function. To be specific, the correct equation that names the graph is <em>x=4</em>. Please note that this is <u>not</u> a function. If it goes straight up, it is <u>UNDEFINED</u>!!!