Use the slope formula:
m =
![(y_2 - y_1)/(x_2 - x_1)](https://img.qammunity.org/2021/formulas/mathematics/college/bfuse2sul4xrgkwen1mfx5n88be2ga657f.png)
Let:
(x₁ , y₁) = (0 , -2)
(x₂ , y₂) = (2 , -3)
Plug in the corresponding numbers to the corresponding variables:
m =
![(-3 - (-2))/(2 - 0)](https://img.qammunity.org/2021/formulas/mathematics/high-school/q0ih0a7r0r4hfawwbuaa5u7rbqlqwd1o5l.png)
Simplify. Note that if there are two negative signs directly next to each other, it becomes a positive sign:
m =
![(-3 + 2)/(2 - 0)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nnp3gbdireu9wkrho52d1jzfvdvjffm9tk.png)
m =
![(-1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cwfc6t7eeq1jflhlt91pc53wwp4a9qct8s.png)
Your slope is
.
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