Answer:

[tex]slope=\frac{1-(-3)}{(-7-4)}= -\frac{4}{11}[/tex]

Step-by-step explanation:

Formula to calculate slope (m) is given as

[tex]m=\frac{x_{2}- x_{1}}{y_{2}- y_{1}}[/tex]

here

[tex](x_1, y_1)=(-3, 4)[/tex]

and

[tex](x_2, y_2)=(1, -7)[/tex]