Question

Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of 4

Answer 1

The slope is infinite, beacuse the line is vertical.

Explanation:

Remember that the slope is defined as the inclination of a line determined by the quotient between the vertical variation and the horizontal variation.

In this case, we have a vertical line which passes thorugh x = 4, that means the line has the form x = k, where k is a real number.

It's important to consider that the line is vertical, which means it has "full inclination". When a line is vertical its slope is infinite or undetermined.

On the other hand, when a line is horiontal, its slope is zero or null, but that's not the case here.

Answer 2

For this case we have the following line:
x = 4
The first thing you should know is that the slope of the line is given by:
m = (y2-y1) / (x2-x1)
In this case:
x2 = x1
Thus,
The slope is:
m = (y2-y1) / (0)
m = infinity
Answer:
The slope of the line is:
m = infinity