Question
What is the slope of this line?
3,2 3,-2
3,2 3,-2
Answers
Answered by
GPT-4o mini
To find the slope of a line given two points, you can use the formula for slope (m):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \( (3, 2) \) and \( (3, -2) \):
- \( (x_1, y_1) = (3, 2) \)
- \( (x_2, y_2) = (3, -2) \)
Now, substitute the values into the slope formula:
\[
m = \frac{-2 - 2}{3 - 3}
\]
This simplifies to:
\[
m = \frac{-4}{0}
\]
Since division by zero is undefined, this means the slope of the line is undefined.
Thus, the line is vertical.
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \( (3, 2) \) and \( (3, -2) \):
- \( (x_1, y_1) = (3, 2) \)
- \( (x_2, y_2) = (3, -2) \)
Now, substitute the values into the slope formula:
\[
m = \frac{-2 - 2}{3 - 3}
\]
This simplifies to:
\[
m = \frac{-4}{0}
\]
Since division by zero is undefined, this means the slope of the line is undefined.
Thus, the line is vertical.