Because the line is parallel, the slope will be the same.
Use the formula:
(y₂ - y₁)/(x₂ - x₁)
Choose your points:
Let (x₁, y₁) = (3,3)
Let (x₂, y₂) = (-3,-1)
Plug into corresponding variables:
(y₂ - y₁)/(x₂ - x₁) becomes (-1 - 3)/(-3 - 3)
(-1 - 3) = -4
(-3 - 3) = -6
-4/-6. Simplify. divide -2 top and bottom
(-4/-6)/(-2/-2) = 2/3
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2/3 is your slope. (rise 2, run 3)
hope this helps
