Answer:
see explanation↓
Explanation:
We are given the following equation of a line:
![2x-4y=-20](https://img.qammunity.org/2023/formulas/mathematics/high-school/1mhrtxms14wa0v2lj393ltp3q2zdxeal79.png)
To determine the x-intercept we must set "y = 0":
![2x-4(0)=-20](https://img.qammunity.org/2023/formulas/mathematics/high-school/lidm8up5i4tg5x6qhj2so9qd9g2yjjk2da.png)
![2x=-20](https://img.qammunity.org/2023/formulas/mathematics/high-school/vttwm8pumol2qhv2r740fe5htfu2c8ljd7.png)
Now, we divide both sides by 2:
![x=-(20)/(2)=-10](https://img.qammunity.org/2023/formulas/mathematics/high-school/e2qwvw9v8rl2qnaztqpvc03dkafgplbk9x.png)
Therefore, the "x" intercept is -10.
To determine the y-intercept we set "x = 0":
![2(0)-4y=-20](https://img.qammunity.org/2023/formulas/mathematics/high-school/bnhy97h6ojzgli3vmlmyl2vmczmnq5wvt2.png)
![-4y=-20](https://img.qammunity.org/2023/formulas/mathematics/high-school/275hqbns5b49amhct55gsicixsy9astm03.png)
Now, we divide both sides by -4:
![y=(-20)/(-4)=5](https://img.qammunity.org/2023/formulas/mathematics/high-school/ch8mvz92oybfrwuqbe8lhcp3wmoc7xrjck.png)
Therefore the y-intercept is 5.