Question

Find the slope of the line passing through the points (2,3) and (2,-4)

Answer 1

Undefined

Explanation:

`\bold{METHOD\ 1:}\\\\\text{The first coordinates of the points (abscissa) are the same.}\\\text{Conclusion: This is a vertical line.}\\\text{The vertical line has the equation x = a (here x = 2). It has no slope.}\\\\\boxed{\text{Answer: unde}\text{fined}}`

`\bold{METHOD\ 2:}\\\text{The formula of a slope:}\\\\m=(y_2-y_1)/(x_2-x_1)\\\\\text{Substitute the coordinates of the given points}\ (2,\ 3)\ \text{and}\ (2,\ -4).\\\\m=(-4-3)/(2-2)=(-7)/(0)\\\\\text{The denominator must be different from 0.}\\\text{The expression}\ (-7)/(0)\ \text{ has no numerical sense.}\\\\\boxed{\text{Conclusion and naswer: unde}\text{fined}}`

Answer 2

Undefined

Explanation:

m=(y2-y1)/(x2-x1)

m=(-4-3)/(2-2)

m=-7/0

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