Answer:
![\displaystyle [0, 2]](https://img.qammunity.org/2023/formulas/mathematics/college/9o71tb1tyl0oraoscn5tlpa2yipktc4ly4.png)
Step-by-step Step-by-step explanation:
First, find the rate of change [slopes]:

We now plug the above information into the Slope-Intercept Formula. It does not matter which ordered pair is selected:
![\displaystyle y = mx + b \\ \\ 3 = -(1)/(2)[-2] + b \hookrightarrow 3 = 1 + b; \boxed{2 = b} \\ \\ y = -(1)/(2)x + 2](https://img.qammunity.org/2023/formulas/mathematics/college/l44gkymkyhpkz1mkntjmpina3u8vzph3rc.png)
OR
![\displaystyle y = mx + b \\ \\ 6 = -(1)/(2)[-8] + b \hookrightarrow 6 = 4 + b; \boxed{2 = b} \\ \\ y = -(1)/(2)x + 2](https://img.qammunity.org/2023/formulas/mathematics/college/h3bvndimna97kil2ldoy8moopskptpj4rd.png)
Therefore, the line passes through the y-intercept of
![\displaystyle [0, 2].](https://img.qammunity.org/2023/formulas/mathematics/college/ni8nmyc6s52dh2d9djt1qw5u09u4e3f0ws.png)
I am joyous to assist you at any time.