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

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

Answer 2

Answer:

The slope is infinite, beacuse the line is vertical.

Step-by-step 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.