Use the slope formula:
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
(x₁ , y₁) = (0 , -2)
(x₂ , y₂) = (2 , -3)
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-3 - (-2)}{2 - 0}[/tex]
Simplify. Note that if there are two negative signs directly next to each other, it becomes a positive sign:
m = [tex]\frac{-3 + 2}{2 - 0}[/tex]
m = [tex]\frac{-1}{2}[/tex]
Your slope is [tex]- \frac{1}{2}[/tex].
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