(2,1) (2,0)
a. Determine the slope of the line. Show all work on how you found the slope or determined the slope from the graph.
b. In two or more complete sentences, explain why it is possible or it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
To determine the slope of the line passing through the points (2,1) and (2,0), we can use the formula for slope which is given by:
slope = (change in y) / (change in x)
Let's calculate the change in y and change in x:
Change in y = 0 - 1 = -1
Change in x = 2 - 2 = 0
Since the change in x is 0, we cannot divide by 0, which means the slope is undefined.
Therefore, it is not possible to write the equation of the given line in the traditional version of the point-slope form, which is y - y1 = m(x - x1). This form requires a defined slope, but in this case, the slope does not exist.