Question

What is the slope of 0, 3 and 0, -5

Answer 1

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (0, - 5)

m = $\frac{-5-3}{0-0}$ = $\frac{-8}{0}$

Division by 0 is undefined, hence slope is undefined

In fact this is the slope of a vertical line

Answer 2

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (0,) and (0, -5). Substitute:

$m=\dfrac{-5-3}{0-0}=\dfrac{-8}{0}\ \ \ \bbbig{!!!!!}\ \text{division by 0 !!!!!}$

Answer: slope is undefined

This is the line lying on the y-axis (vertical line x = 0).