The points of data are plotted: point A is at (4,-3) and point B is 5 units in the positive y direction. How would you describe the slope of this line? Is it A undefined slope B zero slope C negative slope D positive slope?

Answer 1

To determine the slope of the line, we need at least two points. Currently, we only have one point, which is point A at (4, -3).

However, we have information about point B, which is 5 units in the positive y direction. This means that point B must have the same x-coordinate as point A (4) but a y-coordinate that is 5 units greater. Thus, point B is at (4, 2).

Now, we can calculate the slope of the line using the formula:

slope = (change in y) / (change in x)

The change in y from point A to point B is 2 - (-3) = 5.
The change in x from point A to point B is 4 - 4 = 0.

Since there is no change in x, the denominator is 0. Division by 0 is undefined.

Therefore, the slope of the line passing through points A and B is undefined (option A).