Question

PLEASE HELP ME!!!!! WORTH 10 POINTS!!!!

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.

Answer 1

Part 1: Since the line goes straight up, the slope is undefined.
Not 100% how to do part 2, but here's my answer:
The slope would be 1/0 , and that's not possible cause you can't have 0 in the denominator. That's why it's not possible and the slope is undefined.

Answer 2

Notice that the given line is vertical, which means its slope is undetermined.

We can demonstrate that using the slope definition:

`m=(y_(2) -y_(1) )/(x_(2)-x_(1) )`

`m=(1-0)/(2-2)=(1)/(0)=IND`

Which is undetermined because null denominators cannot be determined.

Now, the Point-Slope form of a line refers to expressin the equation with one point and its slope. So, if we cannot determine the slope, we cannot determine the point-slope form neither. In other words, we need to have a determined slope to express it in this form.