Step-by-step explanation:
[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
From the picture:
(6, -2) ⇒ x₁ = 6, y₁ = -2
(12, -2) ⇒ x₂ = 12, y₂ = -2
So the slope:
[tex]\bold{m=\dfrac{-2-(-2)}{12-6}=\dfrac{0}{6}=0}[/tex]
From your writing:
(6, 2) ⇒ x₁ = 6, y₁ = 2
(12, -2) ⇒ x₂ = 12, y₂ = -2
So the slope:
[tex]\bold{m=\dfrac{-2-2}{12-6}=\dfrac{4}{6}=\dfrac23=0.\overline6}[/tex]
