Respuesta :

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



gmany

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]

Answer: slope is undefined

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

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