ANSWER
![y\text{ = -}(2)/(7)x\text{ - }(4)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/cxcbv3nk8otn4iypp1gzzoyrzo97uz34je.png)
Step-by-step explanation
We are given the function:
-2x - 7y = 4
Writing this in slope-intercept form (or solving for y) simply means that we want to write it in the form:
y = mx + c
where m = slope
c = y intercept
Therefore, we have:
![\begin{gathered} -2x\text{ - 7y = 4} \\ -7y\text{ = 2x + 4} \\ \text{Divide through by -7:} \\ y\text{ = -}(2)/(7)x\text{ - }(4)/(7) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qa12zzmt13358wt7w090r8jy6jk525o61l.png)
That is the function in slope intercept form.