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 = [tex]\frac{-5-3}{0-0}[/tex] = [tex]\frac{-8}{0}[/tex]
Division by 0 is undefined, hence slope is undefined
In fact this is the slope of a vertical line
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (0,) and (0, -5). Substitute:
[tex]m=\dfrac{-5-3}{0-0}=\dfrac{-8}{0}\ \ \ \bbbig{!!!!!}\ \text{division by 0 !!!!!}[/tex]
This is the line lying on the y-axis (vertical line x = 0).