Question

What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.

Answer 1

Answer:

The slop is undefined

i.e. $m=\infty$

Step-by-step explanation:

Considering the slope formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

As the points are (7, -4) and (7, 0)

Here:

• (x₁, y₁) = (7, -4)

• (x₂, y₂) = (7, 0)

$\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty$

so

  $\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

            $=\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}$

             $=\frac{0-\left(-4\right)}{0}$

             $=\infty$    

Therefore, the slop is undefined i.e. $m=\infty$