Slope = - 1/6; (12,-2)

Equation is y = - 1/6x

Step-by-step explanation:

Step 1: Given that slope, m = - 1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.

⇒ y = mx + b

⇒ - 2 = - 1/6 * 12 + b

⇒ - 2 = - 2 + b

∴ b = 0

Step 2: Write the equation in slope intercept form.

⇒ y = - 1/6x + 0

⇒ y = - 1/6x