Question

Find the slope between each pair of points (0, 4) and (0, 12).

a) Undefined
b) 0
c) Infinite
d) 2

Answer 1

The slope for the line passing through the points (0, 4) and (0, 12) is undefined because the change in the x-coordinates is zero, resulting in a division by zero which is undefined.

Step-by-step explanation:

To find the slope for a line passing through the given pair of points (0, 4) and (0, 12), we can apply the slope formula: slope (m) = ∆y / ∆x, where ∆y is the change in the y-coordinates and ∆x is the change in the x-coordinates of the points. In this case, ∆y = 12 - 4 = 8 and ∆x = 0 - 0 = 0. Since dividing by zero is undefined, the slope of the line passing through these points is undefined.