To determine which pair of points would yield a line with an undefined slope, we use the slope formula for two points and , which is .
A line has an undefined slope when the denominator of the slope formula, , is equal to . That means the -coordinates of the two points must be the same.
Let's analyze each pair of points:
A: and
For these points, , , , .
The slope .
Since division by zero is undefined, the line passing through these points has an undefined slope.
B: and
Here, , , , .
The slope