Understanding the Slope of a Vertical Line

The video tutorial explains how to calculate the slope of a line using two points, (3, 1) and (3, -2). It demonstrates substituting these points into the slope formula, resulting in an undefined slope due to division by zero, indicating a vertical line. The tutorial also includes graphing the points to visually confirm the vertical line and explains why the slope is undefined in such cases.

What is the first step in calculating the slope of a line given two points?

• Determine if the line is horizontal.

• Identify the x and y coordinates of the points.

• Calculate the distance between the points.

• Graph the points on a coordinate plane.

In the slope equation, what does the denominator represent?

• The sum of x-values.

• The difference in y-values.

• The difference in x-values.

• The sum of y-values.

What happens when the denominator of the slope equation is zero?

• The slope is zero.

• The slope is positive.

• The slope is negative.

• The slope is undefined.

What type of line is formed when the slope is undefined?

• Vertical line

• Horizontal line

• Curved line

• Diagonal line

How do you graph the point (3, 1) on a coordinate plane?

• Move left 3 and up 1.

• Move right 3 and up 1.

• Move left 3 and down 1.

• Move right 3 and down 1.

What is the result of the slope equation when the x-values are the same?

• The slope is positive.

• The slope is zero.

• The slope is undefined.

• The slope is negative.

Why is the slope of a vertical line considered undefined?

• Because the line is diagonal.

• Because the line is horizontal.

• Because the x-values are the same.

• Because the y-values are the same.