Answer:
The slope-intercept form of the given equation is,
![y = (4x)/(7)-2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/g940rjlkr300upgu18q3o066dlz39xoiaj.png)
Explanation:
The given equation of the line is,
- 4x + 7y = - 14
Adding '4x' on both sides of the above equation, we get
- 4x + 7y + 4x = - 14 + 4x
⇒ 7y = 4x - 14
Now, dividing both sides of the above equation by '7', we get
7y ÷ 7 = (4x - 14) ÷ 7
![\implies y = (4x)/(7)-(14)/(7)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4wozmi9o8diwzpoguu7ivbwupvdcdb8jz4.png)
![\implies y = (4x)/(7) - 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ribts79mfgco46whpptjqjaoo5w73g9007.png)
This is the required equation of the line in slope-intercept form.