ANSWER
[tex]y\text{ = -}\frac{2}{7}x\text{ - }\frac{4}{7}[/tex]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:
[tex]\begin{gathered} -2x\text{ - 7y = 4} \\ -7y\text{ = 2x + 4} \\ \text{Divide through by -7:} \\ y\text{ = -}\frac{2}{7}x\text{ - }\frac{4}{7} \end{gathered}[/tex]That is the function in slope intercept form.
