Answer:
[tex]\textbf{The slope of the parallel line is given by $ \frac{-7}{5}$}\\[/tex]
Step-by-step explanation:
[tex]\textup{The slope of any two parallel lines are equal and they only differ in their $y- intercepts$. }\\\textup{Given $7x + 5y = 1$}\\\textup{This can be written as: $y = \frac{-7}{5}x + \frac{1}{5}$}\\\textup{This is now comparable to $y = mx + c$, where $m$ is the slope of that line.}\\\textup{Therefore, the slope of the given line and any parallel to it is $\frac{-7}{5}$.}[/tex]
