Question

What is the slope of the line that passes through the points (-8,-1) and (-8,11)?

Answer 1

Answer: $\text{Slope}=\Large\boxed{Unde fined}$

Step-by-step explanation:

Given information

$(x_1,~y_1)=(-8,~-1)$

$(x_2,~y_2)=(-8,~11)$

Given the formula for the slope

$\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute values into the formula

$\text{Slope}=\dfrac{(11)-(-1)}{(-8)-(-8)}$

Simplify the numerator and the denominator

$\text{Slope}=\dfrac{11+1}{-8+8}$

$\text{Slope}=\dfrac{12}{0}$

Simplify the fraction

$\text{Since any number divided by 0 is impossible to find, therefore: }$

$\text{Slope}=\Large\boxed{Unde fined}$

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