What is the slope of the line that passes through the points 1,-7 and 1,13 Write your answer in simplest form.

Answer 1

To find the slope of the line that passes through the points (1, -7) and (1, 13), you can use the slope formula:

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Let's name the points (x1, y1) = (1, -7) and (x2, y2) = (1, 13).

Now, let's plug in the values:

m = (13 - (-7)) / (1 - 1)
m = (13 + 7) / (1 - 1)
m = 20 / 0

However, division by zero is undefined. This means that the slope of the line is undefined. In geometric terms, when the x-values of two points are the same, this indicates a vertical line, which has an undefined slope since it does not have any "rise" over "run." In other words, the line goes straight up and down, and it does not have a slope in the traditional sense.

So, the slope of the line that passes through the points (1, -7) and (1, 13) is undefined.