Answer:
Required slope = - 6
Step-by-step explanation:
Parallel lines have same slope.
(x₁ , y₁) = (3 , -5) & (x₂ , y₂) = (1, 7)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{7 - [-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= -6[/tex]
Slope of the a line parallel to a line = -6