Question

Write an equation of the line that passes through the points (2, -1) and (2, 5). Show all work

Answer 1

The answer is: The slope is undefined, the points given do not represent a function because x - x1 is 2 - 2, which is zero and division by zero is undefined.

Explanation:

Given points: (2, -1) and (2, 5).

Find the slope m:

m = y - y1/m(x - x1)

m = -1 - 5/m(2 - 2)

m = -6 / m(0)

m - 6 / 0, division by zero is undefined so the slope is undefined.

Note that the points to not pass the vertical test in that a vertical line will pass through both points thus showing that these points are not part of a function.

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