Use the given line below to answer parts 1 and 2. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Part 1: Use the graph to count the slope of the line that passes through the points (2, 1) and (2, 0).

Part 2: In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.

Use the given line below to answer parts 1 and 2 Include your work in your final answer Type your answer in the box provided or use the upload option to submit class=

Respuesta :

Since the line is vertical, its slope is "undefined."  This slope has no numerical value.

The point-slope form is y = mx + b.  In this particular problem, the slope, m, is undefined, and there is no y-intercept (the line never crosses the y-axis).
  • The slope of the line that passes through the points (2, 1) and (2, 0) is [tex]\infty[/tex]
  • The slope of a vertical line does not exist, hence the equation of the line cannot be written in point-slope form

The formula for finding the slope of a line is expressed as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given the coordinate points (2, 1) and (2, 0). Get the slope of the line passing through the coordinate points

[tex]m=\frac{0-1}{2-2}\\m=\frac{-1}{0}\\m=\infty[/tex]

The equation of the line in point-slope form is [tex]y-y_0=m(x-x_0)[/tex]

Since the slope of a vertical line does not exist, hence the equation of the line cannot be written in point-slope form

Learn more here: https://brainly.com/question/17003809