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

The slop is undefined

i.e.
`m=\infty`

Explanation:

Considering the slope formula

`\mathrm{Slope}=(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\\e \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty`

so

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`=(\left(0-\left(-4\right)\right))/(\left(7-7\right))`

`=(0-\left(-4\right))/(0)`

`=\infty`

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