Question

What is the slope of the line that passes through the points (6,2) and (12,-2)

Answer 1

Step-by-step explanation:

$\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}$

From the picture:

(6, -2)    ⇒     x₁ = 6,  y₁ = -2

(12, -2)     ⇒     x₂ = 12,  y₂ = -2

So the slope:

$\bold{m=\dfrac{-2-(-2)}{12-6}=\dfrac{0}{6}=0}$

From your writing:

(6, 2)    ⇒     x₁ = 6,  y₁ = 2

(12, -2)     ⇒     x₂ = 12,  y₂ = -2

So the slope:

$\bold{m=\dfrac{-2-2}{12-6}=\dfrac{4}{6}=\dfrac23=0.\overline6}$